(2m-15)(m+1)=

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Solution for (2m-15)(m+1)= equation:


Simplifying
(2m + -15)(m + 1) = 0

Reorder the terms:
(-15 + 2m)(m + 1) = 0

Reorder the terms:
(-15 + 2m)(1 + m) = 0

Multiply (-15 + 2m) * (1 + m)
(-15(1 + m) + 2m * (1 + m)) = 0
((1 * -15 + m * -15) + 2m * (1 + m)) = 0
((-15 + -15m) + 2m * (1 + m)) = 0
(-15 + -15m + (1 * 2m + m * 2m)) = 0
(-15 + -15m + (2m + 2m2)) = 0

Combine like terms: -15m + 2m = -13m
(-15 + -13m + 2m2) = 0

Solving
-15 + -13m + 2m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-1 + -1m)(15 + -2m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(15 + -2m)' equal to zero and attempt to solve: Simplifying 15 + -2m = 0 Solving 15 + -2m = 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 + -2m = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2m = 0 + -15 -2m = 0 + -15 Combine like terms: 0 + -15 = -15 -2m = -15 Divide each side by '-2'. m = 7.5 Simplifying m = 7.5

Solution

m = {-1, 7.5}

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