-4x(x-6)=2x

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Solution for -4x(x-6)=2x equation: 


Simplifying
-4x(x + -6) = 2x

Reorder the terms:
-4x(-6 + x) = 2x
(-6 * -4x + x * -4x) = 2x
(24x + -4x2) = 2x

Solving
24x + -4x2 = 2x

Solving for variable 'x'.

Reorder the terms:
24x + -2x + -4x2 = 2x + -2x

Combine like terms: 24x + -2x = 22x
22x + -4x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
22x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(11 + -2x) = 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 '(11 + -2x)' equal to zero and attempt to solve:

Simplifying
11 + -2x = 0

Solving
11 + -2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 0 + -11
-2x = 0 + -11

Combine like terms: 0 + -11 = -11
-2x = -11

Divide each side by '-2'.
x = 5.5

Simplifying
x = 5.5
Solution
x = {0, 5.5}

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