8x(2x-6)=6x

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


Simplifying
8x(2x + -6) = 6x

Reorder the terms:
8x(-6 + 2x) = 6x
(-6 * 8x + 2x * 8x) = 6x
(-48x + 16x2) = 6x

Solving
-48x + 16x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-48x + -6x + 16x2 = 6x + -6x

Combine like terms: -48x + -6x = -54x
-54x + 16x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-54x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-27 + 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 '(-27 + 8x)' equal to zero and attempt to solve:

Simplifying
-27 + 8x = 0

Solving
-27 + 8x = 0

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

Add '27' to each side of the equation.
-27 + 27 + 8x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 8x = 0 + 27
8x = 0 + 27

Combine like terms: 0 + 27 = 27
8x = 27

Divide each side by '8'.
x = 3.375

Simplifying
x = 3.375
Solution
x = {0, 3.375}

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