(x+15)(x+15)-5(x+15)=

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


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

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

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

Multiply (15 + x) * (15 + x)
(15(15 + x) + x(15 + x)) + -5(x + 15) = 0
((15 * 15 + x * 15) + x(15 + x)) + -5(x + 15) = 0
((225 + 15x) + x(15 + x)) + -5(x + 15) = 0
(225 + 15x + (15 * x + x * x)) + -5(x + 15) = 0
(225 + 15x + (15x + x2)) + -5(x + 15) = 0

Combine like terms: 15x + 15x = 30x
(225 + 30x + x2) + -5(x + 15) = 0

Reorder the terms:
225 + 30x + x2 + -5(15 + x) = 0
225 + 30x + x2 + (15 * -5 + x * -5) = 0
225 + 30x + x2 + (-75 + -5x) = 0

Reorder the terms:
225 + -75 + 30x + -5x + x2 = 0

Combine like terms: 225 + -75 = 150
150 + 30x + -5x + x2 = 0

Combine like terms: 30x + -5x = 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}

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