m^2+2m-2=-2

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


Simplifying
m2 + 2m + -2 = -2

Reorder the terms:
-2 + 2m + m2 = -2

Add '2' to each side of the equation.
-2 + 2m + 2 + m2 = -2 + 2

Reorder the terms:
-2 + 2 + 2m + m2 = -2 + 2

Combine like terms: -2 + 2 = 0
0 + 2m + m2 = -2 + 2
2m + m2 = -2 + 2

Combine like terms: -2 + 2 = 0
2m + m2 = 0

Solving
2m + m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), 'm'.
m(2 + m) = 0

Subproblem 1

Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0

Subproblem 2

Set the factor '(2 + m)' equal to zero and attempt to solve: Simplifying 2 + m = 0 Solving 2 + m = 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 + m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + m = 0 + -2 m = 0 + -2 Combine like terms: 0 + -2 = -2 m = -2 Simplifying m = -2

Solution

m = {0, -2}

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