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

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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 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Combine like terms: 0.624x + 0.0256x = 0.6496x
100 = 0.6496x

Solving
100 = 0.6496x

Solving for variable 'x'.

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

Add '-0.6496x' to each side of the equation.
100 + -0.6496x = 0.6496x + -0.6496x

Combine like terms: 0.6496x + -0.6496x = 0.0000
100 + -0.6496x = 0.0000

Add '-100' to each side of the equation.
100 + -100 + -0.6496x = 0.0000 + -100

Combine like terms: 100 + -100 = 0
0 + -0.6496x = 0.0000 + -100
-0.6496x = 0.0000 + -100

Combine like terms: 0.0000 + -100 = -100
-0.6496x = -100

Divide each side by '-0.6496'.
x = 153.9408867

Simplifying
x = 153.9408867

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