6x*-8x=2x(3x-4)

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Solution for 6x*-8x=2x(3x-4) equation: 


Simplifying
6x * -8x = 2x(3x + -4)

Reorder the terms for easier multiplication:
6 * -8x * x = 2x(3x + -4)

Multiply 6 * -8
-48x * x = 2x(3x + -4)

Multiply x * x
-48x2 = 2x(3x + -4)

Reorder the terms:
-48x2 = 2x(-4 + 3x)
-48x2 = (-4 * 2x + 3x * 2x)
-48x2 = (-8x + 6x2)

Solving
-48x2 = -8x + 6x2

Solving for variable 'x'.

Reorder the terms:
8x + -48x2 + -6x2 = -8x + 6x2 + 8x + -6x2

Combine like terms: -48x2 + -6x2 = -54x2
8x + -54x2 = -8x + 6x2 + 8x + -6x2

Reorder the terms:
8x + -54x2 = -8x + 8x + 6x2 + -6x2

Combine like terms: -8x + 8x = 0
8x + -54x2 = 0 + 6x2 + -6x2
8x + -54x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
8x + -54x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(4 + -27x) = 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 '(4 + -27x)' equal to zero and attempt to solve:

Simplifying
4 + -27x = 0

Solving
4 + -27x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -27x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -27x = 0 + -4
-27x = 0 + -4

Combine like terms: 0 + -4 = -4
-27x = -4

Divide each side by '-27'.
x = 0.1481481481

Simplifying
x = 0.1481481481
Solution
x = {0, 0.1481481481}

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