15m^2-2m-32=-2+5m

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Solution for 15m^2-2m-32=-2+5m equation:


Simplifying
15m2 + -2m + -32 = -2 + 5m

Reorder the terms:
-32 + -2m + 15m2 = -2 + 5m

Solving
-32 + -2m + 15m2 = -2 + 5m

Solving for variable 'm'.

Reorder the terms:
-32 + 2 + -2m + -5m + 15m2 = -2 + 5m + 2 + -5m

Combine like terms: -32 + 2 = -30
-30 + -2m + -5m + 15m2 = -2 + 5m + 2 + -5m

Combine like terms: -2m + -5m = -7m
-30 + -7m + 15m2 = -2 + 5m + 2 + -5m

Reorder the terms:
-30 + -7m + 15m2 = -2 + 2 + 5m + -5m

Combine like terms: -2 + 2 = 0
-30 + -7m + 15m2 = 0 + 5m + -5m
-30 + -7m + 15m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
-30 + -7m + 15m2 = 0

Factor a trinomial.
(-6 + -5m)(5 + -3m) = 0

Subproblem 1

Set the factor '(-6 + -5m)' equal to zero and attempt to solve: Simplifying -6 + -5m = 0 Solving -6 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5m = 0 + 6 -5m = 0 + 6 Combine like terms: 0 + 6 = 6 -5m = 6 Divide each side by '-5'. m = -1.2 Simplifying m = -1.2

Subproblem 2

Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667

Solution

m = {-1.2, 1.666666667}

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