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Simplifying
m2 + -18m + -70 = 11 + -18m
Reorder the terms:
-70 + -18m + m2 = 11 + -18m
Add '18m' to each side of the equation.
-70 + -18m + 18m + m2 = 11 + -18m + 18m
Combine like terms: -18m + 18m = 0
-70 + 0 + m2 = 11 + -18m + 18m
-70 + m2 = 11 + -18m + 18m
Combine like terms: -18m + 18m = 0
-70 + m2 = 11 + 0
-70 + m2 = 11
Solving
-70 + m2 = 11
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '70' to each side of the equation.
-70 + 70 + m2 = 11 + 70
Combine like terms: -70 + 70 = 0
0 + m2 = 11 + 70
m2 = 11 + 70
Combine like terms: 11 + 70 = 81
m2 = 81
Simplifying
m2 = 81
Take the square root of each side:
m = {-9, 9}
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