x(x+0.5x)=9

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Solution for x(x+0.5x)=9 equation: 


Simplifying
x(x + 0.5x) = 9

Combine like terms: x + 0.5x = 1.5x
x(1.5x) = 9

Remove parenthesis around (1.5x)
x * 1.5x = 9

Reorder the terms for easier multiplication:
1.5x * x = 9

Multiply x * x
1.5x2 = 9

Solving
1.5x2 = 9

Solving for variable 'x'.

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

Divide each side by '1.5'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}

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