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

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


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

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

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

Multiply (7 + s) * (-8 + s)
(7(-8 + s) + s(-8 + s)) = 0
((-8 * 7 + s * 7) + s(-8 + s)) = 0
((-56 + 7s) + s(-8 + s)) = 0
(-56 + 7s + (-8 * s + s * s)) = 0
(-56 + 7s + (-8s + s2)) = 0

Combine like terms: 7s + -8s = -1s
(-56 + -1s + s2) = 0

Solving
-56 + -1s + s2 = 0

Solving for variable 's'.

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


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

Simplifying
-7 + -1s = 0

Solving
-7 + -1s = 0

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

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

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

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

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

Simplifying
s = -7

Subproblem 2
Set the factor '(8 + -1s)' equal to zero and attempt to solve:

Simplifying
8 + -1s = 0

Solving
8 + -1s = 0

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

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

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

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

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

Simplifying
s = 8
Solution
s = {-7, 8}

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