2x(12-8x)=x-11x

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Solution for 2x(12-8x)=x-11x equation: 


Simplifying
2x(12 + -8x) = x + -11x
(12 * 2x + -8x * 2x) = x + -11x
(24x + -16x2) = x + -11x

Combine like terms: x + -11x = -10x
24x + -16x2 = -10x

Solving
24x + -16x2 = -10x

Solving for variable 'x'.

Reorder the terms:
24x + 10x + -16x2 = -10x + 10x

Combine like terms: 24x + 10x = 34x
34x + -16x2 = -10x + 10x

Combine like terms: -10x + 10x = 0
34x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(17 + -8x) = 0

Ignore the factor 2.

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 '(17 + -8x)' equal to zero and attempt to solve:

Simplifying
17 + -8x = 0

Solving
17 + -8x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -8x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -8x = 0 + -17
-8x = 0 + -17

Combine like terms: 0 + -17 = -17
-8x = -17

Divide each side by '-8'.
x = 2.125

Simplifying
x = 2.125
Solution
x = {0, 2.125}

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