m^2=13m-30

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Solution for m^2=13m-30 equation:


Simplifying
m2 = 13m + -30

Reorder the terms:
m2 = -30 + 13m

Solving
m2 = -30 + 13m

Solving for variable 'm'.

Reorder the terms:
30 + -13m + m2 = -30 + 13m + 30 + -13m

Reorder the terms:
30 + -13m + m2 = -30 + 30 + 13m + -13m

Combine like terms: -30 + 30 = 0
30 + -13m + m2 = 0 + 13m + -13m
30 + -13m + m2 = 13m + -13m

Combine like terms: 13m + -13m = 0
30 + -13m + m2 = 0

Factor a trinomial.
(3 + -1m)(10 + -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 '(10 + -1m)' equal to zero and attempt to solve: Simplifying 10 + -1m = 0 Solving 10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 0 + -10 -1m = 0 + -10 Combine like terms: 0 + -10 = -10 -1m = -10 Divide each side by '-1'. m = 10 Simplifying m = 10

Solution

m = {3, 10}

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