49m^2+70m=-16

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Solution for 49m^2+70m=-16 equation:


Simplifying
49m2 + 70m = -16

Reorder the terms:
70m + 49m2 = -16

Solving
70m + 49m2 = -16

Solving for variable 'm'.

Reorder the terms:
16 + 70m + 49m2 = -16 + 16

Combine like terms: -16 + 16 = 0
16 + 70m + 49m2 = 0

Factor a trinomial.
(8 + 7m)(2 + 7m) = 0

Subproblem 1

Set the factor '(8 + 7m)' equal to zero and attempt to solve: Simplifying 8 + 7m = 0 Solving 8 + 7m = 0 Move all terms containing m to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7m = 0 + -8 7m = 0 + -8 Combine like terms: 0 + -8 = -8 7m = -8 Divide each side by '7'. m = -1.142857143 Simplifying m = -1.142857143

Subproblem 2

Set the factor '(2 + 7m)' equal to zero and attempt to solve: Simplifying 2 + 7m = 0 Solving 2 + 7m = 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 + 7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7m = 0 + -2 7m = 0 + -2 Combine like terms: 0 + -2 = -2 7m = -2 Divide each side by '7'. m = -0.2857142857 Simplifying m = -0.2857142857

Solution

m = {-1.142857143, -0.2857142857}

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