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Simplifying
-7m2 + 8m + -5 + 4m2 + -8m + 8 = 0
Reorder the terms:
-5 + 8 + 8m + -8m + -7m2 + 4m2 = 0
Combine like terms: -5 + 8 = 3
3 + 8m + -8m + -7m2 + 4m2 = 0
Combine like terms: 8m + -8m = 0
3 + 0 + -7m2 + 4m2 = 0
3 + -7m2 + 4m2 = 0
Combine like terms: -7m2 + 4m2 = -3m2
3 + -3m2 = 0
Solving
3 + -3m2 = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -3m2 = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -3m2 = 0 + -3
-3m2 = 0 + -3
Combine like terms: 0 + -3 = -3
-3m2 = -3
Divide each side by '-3'.
m2 = 1
Simplifying
m2 = 1
Take the square root of each side:
m = {-1, 1}
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