5m^2+7m=-2

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Solution for 5m^2+7m=-2 equation:


Simplifying
5m2 + 7m = -2

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

Solving
7m + 5m2 = -2

Solving for variable 'm'.

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

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

Factor a trinomial.
(1 + m)(2 + 5m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 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 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4

Solution

m = {-1, -0.4}

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