2m^2=99-7m

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Solution for 2m^2=99-7m equation:


Simplifying
2m2 = 99 + -7m

Solving
2m2 = 99 + -7m

Solving for variable 'm'.

Reorder the terms:
-99 + 7m + 2m2 = 99 + -7m + -99 + 7m

Reorder the terms:
-99 + 7m + 2m2 = 99 + -99 + -7m + 7m

Combine like terms: 99 + -99 = 0
-99 + 7m + 2m2 = 0 + -7m + 7m
-99 + 7m + 2m2 = -7m + 7m

Combine like terms: -7m + 7m = 0
-99 + 7m + 2m2 = 0

Factor a trinomial.
(-9 + -1m)(11 + -2m) = 0

Subproblem 1

Set the factor '(-9 + -1m)' equal to zero and attempt to solve: Simplifying -9 + -1m = 0 Solving -9 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1m = 0 + 9 -1m = 0 + 9 Combine like terms: 0 + 9 = 9 -1m = 9 Divide each side by '-1'. m = -9 Simplifying m = -9

Subproblem 2

Set the factor '(11 + -2m)' equal to zero and attempt to solve: Simplifying 11 + -2m = 0 Solving 11 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2m = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2m = 0 + -11 -2m = 0 + -11 Combine like terms: 0 + -11 = -11 -2m = -11 Divide each side by '-2'. m = 5.5 Simplifying m = 5.5

Solution

m = {-9, 5.5}

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