8m^2+39m=-28

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Solution for 8m^2+39m=-28 equation:


Simplifying
8m2 + 39m = -28

Reorder the terms:
39m + 8m2 = -28

Solving
39m + 8m2 = -28

Solving for variable 'm'.

Reorder the terms:
28 + 39m + 8m2 = -28 + 28

Combine like terms: -28 + 28 = 0
28 + 39m + 8m2 = 0

Factor a trinomial.
(4 + m)(7 + 8m) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + 8m)' equal to zero and attempt to solve: Simplifying 7 + 8m = 0 Solving 7 + 8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 8m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8m = 0 + -7 8m = 0 + -7 Combine like terms: 0 + -7 = -7 8m = -7 Divide each side by '8'. m = -0.875 Simplifying m = -0.875

Solution

m = {-4, -0.875}

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