9m^2=42m-49

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Solution for 9m^2=42m-49 equation:


Simplifying
9m2 = 42m + -49

Reorder the terms:
9m2 = -49 + 42m

Solving
9m2 = -49 + 42m

Solving for variable 'm'.

Reorder the terms:
49 + -42m + 9m2 = -49 + 42m + 49 + -42m

Reorder the terms:
49 + -42m + 9m2 = -49 + 49 + 42m + -42m

Combine like terms: -49 + 49 = 0
49 + -42m + 9m2 = 0 + 42m + -42m
49 + -42m + 9m2 = 42m + -42m

Combine like terms: 42m + -42m = 0
49 + -42m + 9m2 = 0

Factor a trinomial.
(7 + -3m)(7 + -3m) = 0

Subproblem 1

Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333

Subproblem 2

Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333

Solution

m = {2.333333333, 2.333333333}

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