45m^2+6m-24=0

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Solution for 45m^2+6m-24=0 equation:


Simplifying
45m2 + 6m + -24 = 0

Reorder the terms:
-24 + 6m + 45m2 = 0

Solving
-24 + 6m + 45m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 2m + 15m2) = 0

Factor a trinomial.
3((-4 + -5m)(2 + -3m)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-4 + -5m)' equal to zero and attempt to solve: Simplifying -4 + -5m = 0 Solving -4 + -5m = 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 + -5m = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5m = 0 + 4 -5m = 0 + 4 Combine like terms: 0 + 4 = 4 -5m = 4 Divide each side by '-5'. m = -0.8 Simplifying m = -0.8

Subproblem 2

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

Solution

m = {-0.8, 0.6666666667}

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