m^2-5m=36

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Solution for m^2-5m=36 equation:


Simplifying
m2 + -5m = 36

Reorder the terms:
-5m + m2 = 36

Solving
-5m + m2 = 36

Solving for variable 'm'.

Reorder the terms:
-36 + -5m + m2 = 36 + -36

Combine like terms: 36 + -36 = 0
-36 + -5m + m2 = 0

Factor a trinomial.
(-4 + -1m)(9 + -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 '(9 + -1m)' equal to zero and attempt to solve: Simplifying 9 + -1m = 0 Solving 9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1m = 0 + -9 -1m = 0 + -9 Combine like terms: 0 + -9 = -9 -1m = -9 Divide each side by '-1'. m = 9 Simplifying m = 9

Solution

m = {-4, 9}

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