-4x(6x-7)=4x

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Solution for -4x(6x-7)=4x equation: 


Simplifying
-4x(6x + -7) = 4x

Reorder the terms:
-4x(-7 + 6x) = 4x
(-7 * -4x + 6x * -4x) = 4x
(28x + -24x2) = 4x

Solving
28x + -24x2 = 4x

Solving for variable 'x'.

Reorder the terms:
28x + -4x + -24x2 = 4x + -4x

Combine like terms: 28x + -4x = 24x
24x + -24x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
24x + -24x2 = 0

Factor out the Greatest Common Factor (GCF), '24x'.
24x(1 + -1x) = 0

Ignore the factor 24.

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 '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {0, 1}

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