x^2+8x+15=143

Solution for x^2+8x+15=143 equation:

Simplifying
x2 + 8x + 15 = 143

Reorder the terms:
15 + 8x + x2 = 143

Solving
15 + 8x + x2 = 143

Solving for variable 'x'.

Reorder the terms:
15 + -143 + 8x + x2 = 143 + -143

Combine like terms: 15 + -143 = -128
-128 + 8x + x2 = 143 + -143

Combine like terms: 143 + -143 = 0
-128 + 8x + x2 = 0

Factor a trinomial.
(-16 + -1x)(8 + -1x) = 0

Subproblem 1
Set the factor '(-16 + -1x)' equal to zero and attempt to solve:

Simplifying
-16 + -1x = 0

Solving
-16 + -1x = 0

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

Add '16' to each side of the equation.
-16 + 16 + -1x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -1x = 0 + 16
-1x = 0 + 16

Combine like terms: 0 + 16 = 16
-1x = 16

Divide each side by '-1'.
x = -16

Simplifying
x = -16
Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-16, 8}