x(1.6x)=10

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Solution for x(1.6x)=10 equation: 


Simplifying
x(1.6x) = 10

Remove parenthesis around (1.6x)
x * 1.6x = 10

Reorder the terms for easier multiplication:
1.6x * x = 10

Multiply x * x
1.6x2 = 10

Solving
1.6x2 = 10

Solving for variable 'x'.

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

Divide each side by '1.6'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}

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