m^2-4m=-4

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Solution for m^2-4m=-4 equation:


Simplifying
m2 + -4m = -4

Reorder the terms:
-4m + m2 = -4

Solving
-4m + m2 = -4

Solving for variable 'm'.

Reorder the terms:
4 + -4m + m2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -4m + m2 = 0

Factor a trinomial.
(2 + -1m)(2 + -1m) = 0

Subproblem 1

Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2

Subproblem 2

Set the factor '(2 + -1m)' equal to zero and attempt to solve: Simplifying 2 + -1m = 0 Solving 2 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1m = 0 + -2 -1m = 0 + -2 Combine like terms: 0 + -2 = -2 -1m = -2 Divide each side by '-1'. m = 2 Simplifying m = 2

Solution

m = {2, 2}

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