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

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Solution for (x+4)(x-15)=0 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 = -11x
(-60 + -11x + x2) = 0

Solving
-60 + -11x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -1x)(15 + -1x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 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 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-4, 15}

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