m^2-5m=24

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Solution for m^2-5m=24 equation:


Simplifying
m2 + -5m = 24

Reorder the terms:
-5m + m2 = 24

Solving
-5m + m2 = 24

Solving for variable 'm'.

Reorder the terms:
-24 + -5m + m2 = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + -5m + m2 = 0

Factor a trinomial.
(-3 + -1m)(8 + -1m) = 0

Subproblem 1

Set the factor '(-3 + -1m)' equal to zero and attempt to solve: Simplifying -3 + -1m = 0 Solving -3 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1m = 0 + 3 -1m = 0 + 3 Combine like terms: 0 + 3 = 3 -1m = 3 Divide each side by '-1'. m = -3 Simplifying m = -3

Subproblem 2

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

Solution

m = {-3, 8}

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