(r+7)(r-8)=0

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Solution for (r+7)(r-8)=0 equation: 


Simplifying
(r + 7)(r + -8) = 0

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

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

Multiply (7 + r) * (-8 + r)
(7(-8 + r) + r(-8 + r)) = 0
((-8 * 7 + r * 7) + r(-8 + r)) = 0
((-56 + 7r) + r(-8 + r)) = 0
(-56 + 7r + (-8 * r + r * r)) = 0
(-56 + 7r + (-8r + r2)) = 0

Combine like terms: 7r + -8r = -1r
(-56 + -1r + r2) = 0

Solving
-56 + -1r + r2 = 0

Solving for variable 'r'.

Factor a trinomial.
(-7 + -1r)(8 + -1r) = 0


Subproblem 1
Set the factor '(-7 + -1r)' equal to zero and attempt to solve:

Simplifying
-7 + -1r = 0

Solving
-7 + -1r = 0

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

Add '7' to each side of the equation.
-7 + 7 + -1r = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1r = 0 + 7
-1r = 0 + 7

Combine like terms: 0 + 7 = 7
-1r = 7

Divide each side by '-1'.
r = -7

Simplifying
r = -7

Subproblem 2
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
Solution
r = {-7, 8}

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