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Simplifying
4m(m + -2) + 8(m + -2) = 0
Reorder the terms:
4m(-2 + m) + 8(m + -2) = 0
(-2 * 4m + m * 4m) + 8(m + -2) = 0
(-8m + 4m2) + 8(m + -2) = 0
Reorder the terms:
-8m + 4m2 + 8(-2 + m) = 0
-8m + 4m2 + (-2 * 8 + m * 8) = 0
-8m + 4m2 + (-16 + 8m) = 0
Reorder the terms:
-16 + -8m + 8m + 4m2 = 0
Combine like terms: -8m + 8m = 0
-16 + 0 + 4m2 = 0
-16 + 4m2 = 0
Solving
-16 + 4m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '16' to each side of the equation.
-16 + 16 + 4m2 = 0 + 16
Combine like terms: -16 + 16 = 0
0 + 4m2 = 0 + 16
4m2 = 0 + 16
Combine like terms: 0 + 16 = 16
4m2 = 16
Divide each side by '4'.
m2 = 4
Simplifying
m2 = 4
Take the square root of each side:
m = {-2, 2}
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