x(.1667x)=180

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Solution for x(.1667x)=180 equation: 


Simplifying
x(0.1667x) = 180

Remove parenthesis around (0.1667x)
x * 0.1667x = 180

Reorder the terms for easier multiplication:
0.1667x * x = 180

Multiply x * x
0.1667x2 = 180

Solving
0.1667x2 = 180

Solving for variable 'x'.

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

Divide each side by '0.1667'.
x2 = 1079.784043

Simplifying
x2 = 1079.784043

Take the square root of each side:
x = {-32.860067605, 32.860067605}

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