(x+15)(x-2)=0

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Solution for (x+15)(x-2)=0 equation: 


Simplifying
(x + 15)(x + -2) = 0

Reorder the terms:
(15 + x)(x + -2) = 0

Reorder the terms:
(15 + x)(-2 + x) = 0

Multiply (15 + x) * (-2 + x)
(15(-2 + x) + x(-2 + x)) = 0
((-2 * 15 + x * 15) + x(-2 + x)) = 0
((-30 + 15x) + x(-2 + x)) = 0
(-30 + 15x + (-2 * x + x * x)) = 0
(-30 + 15x + (-2x + x2)) = 0

Combine like terms: 15x + -2x = 13x
(-30 + 13x + x2) = 0

Solving
-30 + 13x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-15 + -1x)(2 + -1x) = 0


Subproblem 1
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

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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {-15, 2}

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