(r+8)(r-15)=0

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Solution for (r+8)(r-15)=0 equation: 


Simplifying
(r + 8)(r + -15) = 0

Reorder the terms:
(8 + r)(r + -15) = 0

Reorder the terms:
(8 + r)(-15 + r) = 0

Multiply (8 + r) * (-15 + r)
(8(-15 + r) + r(-15 + r)) = 0
((-15 * 8 + r * 8) + r(-15 + r)) = 0
((-120 + 8r) + r(-15 + r)) = 0
(-120 + 8r + (-15 * r + r * r)) = 0
(-120 + 8r + (-15r + r2)) = 0

Combine like terms: 8r + -15r = -7r
(-120 + -7r + r2) = 0

Solving
-120 + -7r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-8 + -1r)(15 + -1r) = 0


Subproblem 1
Set the factor '(-8 + -1r)' equal to zero and attempt to solve:

Simplifying
-8 + -1r = 0

Solving
-8 + -1r = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1r = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1r = 0 + 8
-1r = 0 + 8

Combine like terms: 0 + 8 = 8
-1r = 8

Divide each side by '-1'.
r = -8

Simplifying
r = -8

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

Simplifying
15 + -1r = 0

Solving
15 + -1r = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1r = 0 + -15

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

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

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

Simplifying
r = 15
Solution
r = {-8, 15}

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