x(x+10)+15(x+10)=

Solution for x(x+10)+15(x+10)= equation:

Simplifying
x(x + 10) + 15(x + 10) = 0

Reorder the terms:
x(10 + x) + 15(x + 10) = 0
(10 * x + x * x) + 15(x + 10) = 0
(10x + x2) + 15(x + 10) = 0

Reorder the terms:
10x + x2 + 15(10 + x) = 0
10x + x2 + (10 * 15 + x * 15) = 0
10x + x2 + (150 + 15x) = 0

Reorder the terms:
150 + 10x + 15x + x2 = 0

Combine like terms: 10x + 15x = 25x
150 + 25x + x2 = 0

Solving
150 + 25x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + x)(10 + x) = 0

Subproblem 1
Set the factor '(15 + x)' equal to zero and attempt to solve:

Simplifying
15 + x = 0

Solving
15 + x = 0

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

Add '-15' to each side of the equation.
15 + -15 + x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + x = 0 + -15
x = 0 + -15

Combine like terms: 0 + -15 = -15
x = -15

Simplifying
x = -15
Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve:

Simplifying
10 + x = 0

Solving
10 + x = 0

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

Add '-10' to each side of the equation.
10 + -10 + x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + x = 0 + -10
x = 0 + -10

Combine like terms: 0 + -10 = -10
x = -10

Simplifying
x = -10
Solution
x = {-15, -10}