x(0.18x)=(x+1)0.18x-0.18x

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Solution for x(0.18x)=(x+1)0.18x-0.18x equation: 


Simplifying
x(0.18x) = (x + 1) * 0.18x + -0.18x

Remove parenthesis around (0.18x)
x * 0.18x = (x + 1) * 0.18x + -0.18x

Reorder the terms for easier multiplication:
0.18x * x = (x + 1) * 0.18x + -0.18x

Multiply x * x
0.18x2 = (x + 1) * 0.18x + -0.18x

Reorder the terms:
0.18x2 = (1 + x) * 0.18x + -0.18x

Reorder the terms for easier multiplication:
0.18x2 = 0.18x(1 + x) + -0.18x
0.18x2 = (1 * 0.18x + x * 0.18x) + -0.18x
0.18x2 = (0.18x + 0.18x2) + -0.18x

Reorder the terms:
0.18x2 = 0.18x + -0.18x + 0.18x2

Combine like terms: 0.18x + -0.18x = 0.00
0.18x2 = 0.00 + 0.18x2
0.18x2 = 0.18x2

Add '-0.18x2' to each side of the equation.
0.18x2 + -0.18x2 = 0.18x2 + -0.18x2

Combine like terms: 0.18x2 + -0.18x2 = 0.00
0.00 = 0.18x2 + -0.18x2

Combine like terms: 0.18x2 + -0.18x2 = 0.00
0.00 = 0.00

Solving
0.00 = 0.00

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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