3(x+4)(x+5)=

Solution for 3(x+4)(x+5)= equation:

Simplifying
3(x + 4)(x + 5) = 0

Reorder the terms:
3(4 + x)(x + 5) = 0

Reorder the terms:
3(4 + x)(5 + x) = 0

Multiply (4 + x) * (5 + x)
3(4(5 + x) + x(5 + x)) = 0
3((5 * 4 + x * 4) + x(5 + x)) = 0
3((20 + 4x) + x(5 + x)) = 0
3(20 + 4x + (5 * x + x * x)) = 0
3(20 + 4x + (5x + x2)) = 0

Combine like terms: 4x + 5x = 9x
3(20 + 9x + x2) = 0
(20 * 3 + 9x * 3 + x2 * 3) = 0
(60 + 27x + 3x2) = 0

Solving
60 + 27x + 3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + 9x + x2) = 0

Factor a trinomial.
3((5 + x)(4 + x)) = 0

Ignore the factor 3.
Subproblem 1
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
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 = {-5, -4}