(x+4)(x+15)=

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Solution for (x+4)(x+15)= equation:


Simplifying
(x + 4)(x + 15) = 0

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

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

Multiply (4 + x) * (15 + x)
(4(15 + x) + x(15 + x)) = 0
((15 * 4 + x * 4) + x(15 + x)) = 0
((60 + 4x) + x(15 + x)) = 0
(60 + 4x + (15 * x + x * x)) = 0
(60 + 4x + (15x + x2)) = 0

Combine like terms: 4x + 15x = 19x
(60 + 19x + x2) = 0

Solving
60 + 19x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15 + x)(4 + 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 '(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 = {-15, -4}

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