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

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Solution for (x+5)(x+15)=0 equation:


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

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

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

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

Combine like terms: 5x + 15x = 20x
(75 + 20x + x2) = 0

Solving
75 + 20x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + x)(5 + 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 '(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}

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