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

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


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

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

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

Multiply (7 + x) * (-2 + 2x)
(7(-2 + 2x) + x(-2 + 2x)) = 0
((-2 * 7 + 2x * 7) + x(-2 + 2x)) = 0
((-14 + 14x) + x(-2 + 2x)) = 0
(-14 + 14x + (-2 * x + 2x * x)) = 0
(-14 + 14x + (-2x + 2x2)) = 0

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

Solving
-14 + 12x + 2x2 = 0

Solving for variable 'x'.

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

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve:

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
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
Solution
x = {-7, 1}

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