m^2=7m-12

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Solution for m^2=7m-12 equation:


Simplifying
m2 = 7m + -12

Reorder the terms:
m2 = -12 + 7m

Solving
m2 = -12 + 7m

Solving for variable 'm'.

Reorder the terms:
12 + -7m + m2 = -12 + 7m + 12 + -7m

Reorder the terms:
12 + -7m + m2 = -12 + 12 + 7m + -7m

Combine like terms: -12 + 12 = 0
12 + -7m + m2 = 0 + 7m + -7m
12 + -7m + m2 = 7m + -7m

Combine like terms: 7m + -7m = 0
12 + -7m + m2 = 0

Factor a trinomial.
(3 + -1m)(4 + -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 '(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

Solution

m = {3, 4}

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