(2x+8)(x+7)=0

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Solution for (2x+8)(x+7)=0 equation: 


Simplifying
(2x + 8)(x + 7) = 0

Reorder the terms:
(8 + 2x)(x + 7) = 0

Reorder the terms:
(8 + 2x)(7 + x) = 0

Multiply (8 + 2x) * (7 + x)
(8(7 + x) + 2x * (7 + x)) = 0
((7 * 8 + x * 8) + 2x * (7 + x)) = 0
((56 + 8x) + 2x * (7 + x)) = 0
(56 + 8x + (7 * 2x + x * 2x)) = 0
(56 + 8x + (14x + 2x2)) = 0

Combine like terms: 8x + 14x = 22x
(56 + 22x + 2x2) = 0

Solving
56 + 22x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 11x + x2) = 0

Factor a trinomial.
2((7 + x)(4 + x)) = 0

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-7, -4}

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