5m^2+54m=-40

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Solution for 5m^2+54m=-40 equation:


Simplifying
5m2 + 54m = -40

Reorder the terms:
54m + 5m2 = -40

Solving
54m + 5m2 = -40

Solving for variable 'm'.

Reorder the terms:
40 + 54m + 5m2 = -40 + 40

Combine like terms: -40 + 40 = 0
40 + 54m + 5m2 = 0

Factor a trinomial.
(10 + m)(4 + 5m) = 0

Subproblem 1

Set the factor '(10 + m)' equal to zero and attempt to solve: Simplifying 10 + m = 0 Solving 10 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + m = 0 + -10 Combine like terms: 10 + -10 = 0 0 + m = 0 + -10 m = 0 + -10 Combine like terms: 0 + -10 = -10 m = -10 Simplifying m = -10

Subproblem 2

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

Solution

m = {-10, -0.8}

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