-12-105m=-27m^2

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Solution for -12-105m=-27m^2 equation:


Simplifying
-12 + -105m = -27m2

Solving
-12 + -105m = -27m2

Solving for variable 'm'.

Combine like terms: -27m2 + 27m2 = 0
-12 + -105m + 27m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + -35m + 9m2) = 0

Factor a trinomial.
3((-1 + -9m)(4 + -1m)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-1 + -9m)' equal to zero and attempt to solve: Simplifying -1 + -9m = 0 Solving -1 + -9m = 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 + -9m = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -9m = 0 + 1 -9m = 0 + 1 Combine like terms: 0 + 1 = 1 -9m = 1 Divide each side by '-9'. m = -0.1111111111 Simplifying m = -0.1111111111

Subproblem 2

Set the factor '(4 + -1m)' equal to zero and attempt to solve: Simplifying 4 + -1m = 0 Solving 4 + -1m = 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 + -1m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1m = 0 + -4 -1m = 0 + -4 Combine like terms: 0 + -4 = -4 -1m = -4 Divide each side by '-1'. m = 4 Simplifying m = 4

Solution

m = {-0.1111111111, 4}

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