2(x+15)(x+5)=

Solution for 2(x+15)(x+5)= equation:

Simplifying
2(x + 15)(x + 5) = 0

Reorder the terms:
2(15 + x)(x + 5) = 0

Reorder the terms:
2(15 + x)(5 + x) = 0

Multiply (15 + x) * (5 + x)
2(15(5 + x) + x(5 + x)) = 0
2((5 * 15 + x * 15) + x(5 + x)) = 0
2((75 + 15x) + x(5 + x)) = 0
2(75 + 15x + (5 * x + x * x)) = 0
2(75 + 15x + (5x + x2)) = 0

Combine like terms: 15x + 5x = 20x
2(75 + 20x + x2) = 0
(75 * 2 + 20x * 2 + x2 * 2) = 0
(150 + 40x + 2x2) = 0

Solving
150 + 40x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(75 + 20x + x2) = 0

Factor a trinomial.
2((15 + x)(5 + x)) = 0

Ignore the factor 2.
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 '(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 = {-15, -5}