(m+4)(m-5)=

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Solution for (m+4)(m-5)= equation:


Simplifying
(m + 4)(m + -5) = 0

Reorder the terms:
(4 + m)(m + -5) = 0

Reorder the terms:
(4 + m)(-5 + m) = 0

Multiply (4 + m) * (-5 + m)
(4(-5 + m) + m(-5 + m)) = 0
((-5 * 4 + m * 4) + m(-5 + m)) = 0
((-20 + 4m) + m(-5 + m)) = 0
(-20 + 4m + (-5 * m + m * m)) = 0
(-20 + 4m + (-5m + m2)) = 0

Combine like terms: 4m + -5m = -1m
(-20 + -1m + m2) = 0

Solving
-20 + -1m + m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -1m)(5 + -1m) = 0

Subproblem 1

Set the factor '(-4 + -1m)' equal to zero and attempt to solve: Simplifying -4 + -1m = 0 Solving -4 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1m = 0 + 4 -1m = 0 + 4 Combine like terms: 0 + 4 = 4 -1m = 4 Divide each side by '-1'. m = -4 Simplifying m = -4

Subproblem 2

Set the factor '(5 + -1m)' equal to zero and attempt to solve: Simplifying 5 + -1m = 0 Solving 5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1m = 0 + -5 -1m = 0 + -5 Combine like terms: 0 + -5 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5

Solution

m = {-4, 5}

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