9m^2-6m-15=-7

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Solution for 9m^2-6m-15=-7 equation:


Simplifying
9m2 + -6m + -15 = -7

Reorder the terms:
-15 + -6m + 9m2 = -7

Solving
-15 + -6m + 9m2 = -7

Solving for variable 'm'.

Reorder the terms:
-15 + 7 + -6m + 9m2 = -7 + 7

Combine like terms: -15 + 7 = -8
-8 + -6m + 9m2 = -7 + 7

Combine like terms: -7 + 7 = 0
-8 + -6m + 9m2 = 0

Factor a trinomial.
(-2 + -3m)(4 + -3m) = 0

Subproblem 1

Set the factor '(-2 + -3m)' equal to zero and attempt to solve: Simplifying -2 + -3m = 0 Solving -2 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3m = 0 + 2 -3m = 0 + 2 Combine like terms: 0 + 2 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667

Subproblem 2

Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333

Solution

m = {-0.6666666667, 1.333333333}

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