2x^2-14x+12=2(x-1)(x-6)

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Solution for 2x^2-14x+12=2(x-1)(x-6) equation: 


Simplifying
2x2 + -14x + 12 = 2(x + -1)(x + -6)

Reorder the terms:
12 + -14x + 2x2 = 2(x + -1)(x + -6)

Reorder the terms:
12 + -14x + 2x2 = 2(-1 + x)(x + -6)

Reorder the terms:
12 + -14x + 2x2 = 2(-1 + x)(-6 + x)

Multiply (-1 + x) * (-6 + x)
12 + -14x + 2x2 = 2(-1(-6 + x) + x(-6 + x))
12 + -14x + 2x2 = 2((-6 * -1 + x * -1) + x(-6 + x))
12 + -14x + 2x2 = 2((6 + -1x) + x(-6 + x))
12 + -14x + 2x2 = 2(6 + -1x + (-6 * x + x * x))
12 + -14x + 2x2 = 2(6 + -1x + (-6x + x2))

Combine like terms: -1x + -6x = -7x
12 + -14x + 2x2 = 2(6 + -7x + x2)
12 + -14x + 2x2 = (6 * 2 + -7x * 2 + x2 * 2)
12 + -14x + 2x2 = (12 + -14x + 2x2)

Add '-12' to each side of the equation.
12 + -14x + -12 + 2x2 = 12 + -14x + -12 + 2x2

Reorder the terms:
12 + -12 + -14x + 2x2 = 12 + -14x + -12 + 2x2

Combine like terms: 12 + -12 = 0
0 + -14x + 2x2 = 12 + -14x + -12 + 2x2
-14x + 2x2 = 12 + -14x + -12 + 2x2

Reorder the terms:
-14x + 2x2 = 12 + -12 + -14x + 2x2

Combine like terms: 12 + -12 = 0
-14x + 2x2 = 0 + -14x + 2x2
-14x + 2x2 = -14x + 2x2

Add '14x' to each side of the equation.
-14x + 14x + 2x2 = -14x + 14x + 2x2

Combine like terms: -14x + 14x = 0
0 + 2x2 = -14x + 14x + 2x2
2x2 = -14x + 14x + 2x2

Combine like terms: -14x + 14x = 0
2x2 = 0 + 2x2
2x2 = 2x2

Add '-2x2' to each side of the equation.
2x2 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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