x(12-11x)=15x

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Solution for x(12-11x)=15x equation: 


Simplifying
x(12 + -11x) = 15x
(12 * x + -11x * x) = 15x
(12x + -11x2) = 15x

Solving
12x + -11x2 = 15x

Solving for variable 'x'.

Reorder the terms:
12x + -15x + -11x2 = 15x + -15x

Combine like terms: 12x + -15x = -3x
-3x + -11x2 = 15x + -15x

Combine like terms: 15x + -15x = 0
-3x + -11x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(3 + 11x) = 0

Ignore the factor -1.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(3 + 11x)' equal to zero and attempt to solve:

Simplifying
3 + 11x = 0

Solving
3 + 11x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 11x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 0 + -3
11x = 0 + -3

Combine like terms: 0 + -3 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727
Solution
x = {0, -0.2727272727}

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