100=(x*0.4)+(x*0.4)*0.4+(x*0.4)*0.4*0.4+(x*0.4)*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4*0.4*0.4

Simple and best practice solution for 100=(x*0.4)+(x*0.4)*0.4+(x*0.4)*0.4*0.4+(x*0.4)*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4*0.4*0.4 equation. Check how easy it is, and learn it for the future. Our solution

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Solution for 100=(x*0.4)+(x*0.4)*0.4+(x*0.4)*0.4*0.4+(x*0.4)*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4*0.4+(x*0.4)*0.4*0.4*0.4*0.4*0.4*0.4 equation: 


Simplifying
100 = (x * 0.4) + (x * 0.4) * 0.4 + (x * 0.4) * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + (x * 0.4) * 0.4 + (x * 0.4) * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + (0.4x) * 0.4 + (x * 0.4) * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Remove parenthesis around (0.4x)
100 = (0.4x) + 0.4x * 0.4 + (x * 0.4) * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.4 * 0.4
100 = (0.4x) + 0.16x + (x * 0.4) * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + (0.4x) * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Remove parenthesis around (0.4x)
100 = (0.4x) + 0.16x + 0.4x * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.4 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.4 * 0.4
100 = (0.4x) + 0.16x + 0.16 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.16 * 0.4
100 = (0.4x) + 0.16x + 0.064x + (x * 0.4) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + (0.4x) * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Remove parenthesis around (0.4x)
100 = (0.4x) + 0.16x + 0.064x + 0.4x * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + 0.4 * 0.4 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.4 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.16 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.16 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.064 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.064 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + (0.4x) * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Remove parenthesis around (0.4x)
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.4x * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.4 * 0.4 * 0.4 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.4 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.16 * 0.4 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.16 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.064 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.064 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.0256 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.0256 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + (0.4x) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Remove parenthesis around (0.4x)
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.4x * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.4 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.16 * 0.4 * 0.4 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.16 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.064 * 0.4 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.064 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.0256 * 0.4 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.0256 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.01024 * 0.4x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Multiply 0.01024 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + (x * 0.4) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + (0.4x) * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Remove parenthesis around (0.4x)
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.4x * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4

Reorder the terms for easier multiplication:
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4x

Multiply 0.4 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.16 * 0.4 * 0.4 * 0.4 * 0.4 * 0.4x

Multiply 0.16 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.064 * 0.4 * 0.4 * 0.4 * 0.4x

Multiply 0.064 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.0256 * 0.4 * 0.4 * 0.4x

Multiply 0.0256 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.01024 * 0.4 * 0.4x

Multiply 0.01024 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.004096 * 0.4x

Multiply 0.004096 * 0.4
100 = (0.4x) + 0.16x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.0016384x

Combine like terms: (0.4x) + 0.16x = 0.56x
100 = 0.56x + 0.064x + 0.0256x + 0.01024x + 0.004096x + 0.0016384x

Combine like terms: 0.56x + 0.064x = 0.624x
100 = 0.624x + 0.0256x + 0.01024x + 0.004096x + 0.0016384x

Combine like terms: 0.624x + 0.0256x = 0.6496x
100 = 0.6496x + 0.01024x + 0.004096x + 0.0016384x

Combine like terms: 0.6496x + 0.01024x = 0.65984x
100 = 0.65984x + 0.004096x + 0.0016384x

Combine like terms: 0.65984x + 0.004096x = 0.663936x
100 = 0.663936x + 0.0016384x

Combine like terms: 0.663936x + 0.0016384x = 0.6655744x
100 = 0.6655744x

Solving
100 = 0.6655744x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-0.6655744x' to each side of the equation.
100 + -0.6655744x = 0.6655744x + -0.6655744x

Combine like terms: 0.6655744x + -0.6655744x = 0.0000000
100 + -0.6655744x = 0.0000000

Add '-100' to each side of the equation.
100 + -100 + -0.6655744x = 0.0000000 + -100

Combine like terms: 100 + -100 = 0
0 + -0.6655744x = 0.0000000 + -100
-0.6655744x = 0.0000000 + -100

Combine like terms: 0.0000000 + -100 = -100
-0.6655744x = -100

Divide each side by '-0.6655744'.
x = 150.2461633

Simplifying
x = 150.2461633

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