9m^2-15m-24=0

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Solution for 9m^2-15m-24=0 equation:


Simplifying
9m2 + -15m + -24 = 0

Reorder the terms:
-24 + -15m + 9m2 = 0

Solving
-24 + -15m + 9m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + -5m + 3m2) = 0

Factor a trinomial.
3((-1 + -1m)(8 + -3m)) = 0

Ignore the factor 3.

Subproblem 1

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

Subproblem 2

Set the factor '(8 + -3m)' equal to zero and attempt to solve: Simplifying 8 + -3m = 0 Solving 8 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3m = 0 + -8 -3m = 0 + -8 Combine like terms: 0 + -8 = -8 -3m = -8 Divide each side by '-3'. m = 2.666666667 Simplifying m = 2.666666667

Solution

m = {-1, 2.666666667}

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