8x^2=2x(7x-6)

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Solution for 8x^2=2x(7x-6) equation: 


Simplifying
8x2 = 2x(7x + -6)

Reorder the terms:
8x2 = 2x(-6 + 7x)
8x2 = (-6 * 2x + 7x * 2x)
8x2 = (-12x + 14x2)

Solving
8x2 = -12x + 14x2

Solving for variable 'x'.

Reorder the terms:
12x + 8x2 + -14x2 = -12x + 14x2 + 12x + -14x2

Combine like terms: 8x2 + -14x2 = -6x2
12x + -6x2 = -12x + 14x2 + 12x + -14x2

Reorder the terms:
12x + -6x2 = -12x + 12x + 14x2 + -14x2

Combine like terms: -12x + 12x = 0
12x + -6x2 = 0 + 14x2 + -14x2
12x + -6x2 = 14x2 + -14x2

Combine like terms: 14x2 + -14x2 = 0
12x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '6x'.
6x(2 + -1x) = 0

Ignore the factor 6.

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 '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0, 2}

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