8x(x-2)=6x

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


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

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

Solving
-16x + 8x2 = 6x

Solving for variable 'x'.

Reorder the terms:
-16x + -6x + 8x2 = 6x + -6x

Combine like terms: -16x + -6x = -22x
-22x + 8x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-22x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-11 + 4x) = 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 + 4x)' equal to zero and attempt to solve:

Simplifying
-11 + 4x = 0

Solving
-11 + 4x = 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 + 4x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 4x = 0 + 11
4x = 0 + 11

Combine like terms: 0 + 11 = 11
4x = 11

Divide each side by '4'.
x = 2.75

Simplifying
x = 2.75
Solution
x = {0, 2.75}

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