3(m+2)-m(m-2)=0

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Solution for 3(m+2)-m(m-2)=0 equation:


Simplifying
3(m + 2) + -1m(m + -2) = 0

Reorder the terms:
3(2 + m) + -1m(m + -2) = 0
(2 * 3 + m * 3) + -1m(m + -2) = 0
(6 + 3m) + -1m(m + -2) = 0

Reorder the terms:
6 + 3m + -1m(-2 + m) = 0
6 + 3m + (-2 * -1m + m * -1m) = 0
6 + 3m + (2m + -1m2) = 0

Combine like terms: 3m + 2m = 5m
6 + 5m + -1m2 = 0

Solving
6 + 5m + -1m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(6 + -1m)(1 + m) = 0

Subproblem 1

Set the factor '(6 + -1m)' equal to zero and attempt to solve: Simplifying 6 + -1m = 0 Solving 6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1m = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1m = 0 + -6 -1m = 0 + -6 Combine like terms: 0 + -6 = -6 -1m = -6 Divide each side by '-1'. m = 6 Simplifying m = 6

Subproblem 2

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

Solution

m = {6, -1}

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