m^2+20m-60=9

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Solution for m^2+20m-60=9 equation:


Simplifying
m2 + 20m + -60 = 9

Reorder the terms:
-60 + 20m + m2 = 9

Solving
-60 + 20m + m2 = 9

Solving for variable 'm'.

Reorder the terms:
-60 + -9 + 20m + m2 = 9 + -9

Combine like terms: -60 + -9 = -69
-69 + 20m + m2 = 9 + -9

Combine like terms: 9 + -9 = 0
-69 + 20m + m2 = 0

Factor a trinomial.
(-23 + -1m)(3 + -1m) = 0

Subproblem 1

Set the factor '(-23 + -1m)' equal to zero and attempt to solve: Simplifying -23 + -1m = 0 Solving -23 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + -1m = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -1m = 0 + 23 -1m = 0 + 23 Combine like terms: 0 + 23 = 23 -1m = 23 Divide each side by '-1'. m = -23 Simplifying m = -23

Subproblem 2

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

Solution

m = {-23, 3}

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