(2x^2+6x)-(14x-42)=(2x+6)(x-7)

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Solution for (2x^2+6x)-(14x-42)=(2x+6)(x-7) equation: 


Simplifying
(2x2 + 6x) + -1(14x + -42) = (2x + 6)(x + -7)

Reorder the terms:
(6x + 2x2) + -1(14x + -42) = (2x + 6)(x + -7)

Remove parenthesis around (6x + 2x2)
6x + 2x2 + -1(14x + -42) = (2x + 6)(x + -7)

Reorder the terms:
6x + 2x2 + -1(-42 + 14x) = (2x + 6)(x + -7)
6x + 2x2 + (-42 * -1 + 14x * -1) = (2x + 6)(x + -7)
6x + 2x2 + (42 + -14x) = (2x + 6)(x + -7)

Reorder the terms:
42 + 6x + -14x + 2x2 = (2x + 6)(x + -7)

Combine like terms: 6x + -14x = -8x
42 + -8x + 2x2 = (2x + 6)(x + -7)

Reorder the terms:
42 + -8x + 2x2 = (6 + 2x)(x + -7)

Reorder the terms:
42 + -8x + 2x2 = (6 + 2x)(-7 + x)

Multiply (6 + 2x) * (-7 + x)
42 + -8x + 2x2 = (6(-7 + x) + 2x * (-7 + x))
42 + -8x + 2x2 = ((-7 * 6 + x * 6) + 2x * (-7 + x))
42 + -8x + 2x2 = ((-42 + 6x) + 2x * (-7 + x))
42 + -8x + 2x2 = (-42 + 6x + (-7 * 2x + x * 2x))
42 + -8x + 2x2 = (-42 + 6x + (-14x + 2x2))

Combine like terms: 6x + -14x = -8x
42 + -8x + 2x2 = (-42 + -8x + 2x2)

Add '8x' to each side of the equation.
42 + -8x + 8x + 2x2 = -42 + -8x + 8x + 2x2

Combine like terms: -8x + 8x = 0
42 + 0 + 2x2 = -42 + -8x + 8x + 2x2
42 + 2x2 = -42 + -8x + 8x + 2x2

Combine like terms: -8x + 8x = 0
42 + 2x2 = -42 + 0 + 2x2
42 + 2x2 = -42 + 2x2

Add '-2x2' to each side of the equation.
42 + 2x2 + -2x2 = -42 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
42 + 0 = -42 + 2x2 + -2x2
42 = -42 + 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
42 = -42 + 0
42 = -42

Solving
42 = -42

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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