m^2-20=-m

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Solution for m^2-20=-m equation:


Simplifying
m2 + -20 = -1m

Reorder the terms:
-20 + m2 = -1m

Solving
-20 + m2 = -1m

Solving for variable 'm'.

Reorder the terms:
-20 + m + m2 = -1m + m

Combine like terms: -1m + m = 0
-20 + m + m2 = 0

Factor a trinomial.
(-5 + -1m)(4 + -1m) = 0

Subproblem 1

Set the factor '(-5 + -1m)' equal to zero and attempt to solve: Simplifying -5 + -1m = 0 Solving -5 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1m = 0 + 5 -1m = 0 + 5 Combine like terms: 0 + 5 = 5 -1m = 5 Divide each side by '-1'. m = -5 Simplifying m = -5

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 = {-5, 4}

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