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

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


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

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

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

Multiply (-15 + m) * (8 + m)
(-15(8 + m) + m(8 + m)) = 0
((8 * -15 + m * -15) + m(8 + m)) = 0
((-120 + -15m) + m(8 + m)) = 0
(-120 + -15m + (8 * m + m * m)) = 0
(-120 + -15m + (8m + m2)) = 0

Combine like terms: -15m + 8m = -7m
(-120 + -7m + m2) = 0

Solving
-120 + -7m + m2 = 0

Solving for variable 'm'.

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

Subproblem 1

Set the factor '(-8 + -1m)' equal to zero and attempt to solve: Simplifying -8 + -1m = 0 Solving -8 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1m = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1m = 0 + 8 -1m = 0 + 8 Combine like terms: 0 + 8 = 8 -1m = 8 Divide each side by '-1'. m = -8 Simplifying m = -8

Subproblem 2

Set the factor '(15 + -1m)' equal to zero and attempt to solve: Simplifying 15 + -1m = 0 Solving 15 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1m = 0 + -15 -1m = 0 + -15 Combine like terms: 0 + -15 = -15 -1m = -15 Divide each side by '-1'. m = 15 Simplifying m = 15

Solution

m = {-8, 15}

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