5m^2+27m+36=0

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Solution for 5m^2+27m+36=0 equation:


Simplifying
5m2 + 27m + 36 = 0

Reorder the terms:
36 + 27m + 5m2 = 0

Solving
36 + 27m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + m)(12 + 5m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(12 + 5m)' equal to zero and attempt to solve: Simplifying 12 + 5m = 0 Solving 12 + 5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5m = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5m = 0 + -12 5m = 0 + -12 Combine like terms: 0 + -12 = -12 5m = -12 Divide each side by '5'. m = -2.4 Simplifying m = -2.4

Solution

m = {-3, -2.4}

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