(2x+10)(86+x)=

Solution for (2x+10)(86+x)= equation:

Simplifying
(2x + 10)(86 + x) = 0

Reorder the terms:
(10 + 2x)(86 + x) = 0

Multiply (10 + 2x) * (86 + x)
(10(86 + x) + 2x * (86 + x)) = 0
((86 * 10 + x * 10) + 2x * (86 + x)) = 0
((860 + 10x) + 2x * (86 + x)) = 0
(860 + 10x + (86 * 2x + x * 2x)) = 0
(860 + 10x + (172x + 2x2)) = 0

Combine like terms: 10x + 172x = 182x
(860 + 182x + 2x2) = 0

Solving
860 + 182x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(430 + 91x + x2) = 0

Factor a trinomial.
2((86 + x)(5 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(86 + x)' equal to zero and attempt to solve:

Simplifying
86 + x = 0

Solving
86 + x = 0

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

Add '-86' to each side of the equation.
86 + -86 + x = 0 + -86

Combine like terms: 86 + -86 = 0
0 + x = 0 + -86
x = 0 + -86

Combine like terms: 0 + -86 = -86
x = -86

Simplifying
x = -86
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {-86, -5}