0=2(x+7)(x-1)

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Solution for 0=2(x+7)(x-1) equation: 


Simplifying
0 = 2(x + 7)(x + -1)

Reorder the terms:
0 = 2(7 + x)(x + -1)

Reorder the terms:
0 = 2(7 + x)(-1 + x)

Multiply (7 + x) * (-1 + x)
0 = 2(7(-1 + x) + x(-1 + x))
0 = 2((-1 * 7 + x * 7) + x(-1 + x))
0 = 2((-7 + 7x) + x(-1 + x))
0 = 2(-7 + 7x + (-1 * x + x * x))
0 = 2(-7 + 7x + (-1x + x2))

Combine like terms: 7x + -1x = 6x
0 = 2(-7 + 6x + x2)
0 = (-7 * 2 + 6x * 2 + x2 * 2)
0 = (-14 + 12x + 2x2)

Solving
0 = -14 + 12x + 2x2

Solving for variable 'x'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '2'.
2(7 + -6x + -1x2) = 0

Factor a trinomial.
2((1 + -1x)(7 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

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

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

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

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

Simplifying
x = 1

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {1, -7}

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