49m^2+16+56m=0

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Solution for 49m^2+16+56m=0 equation:


Simplifying
49m2 + 16 + 56m = 0

Reorder the terms:
16 + 56m + 49m2 = 0

Solving
16 + 56m + 49m2 = 0

Solving for variable 'm'.

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

Subproblem 1

Set the factor '(4 + 7m)' equal to zero and attempt to solve: Simplifying 4 + 7m = 0 Solving 4 + 7m = 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 + 7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 0 + -4 7m = 0 + -4 Combine like terms: 0 + -4 = -4 7m = -4 Divide each side by '7'. m = -0.5714285714 Simplifying m = -0.5714285714

Subproblem 2

Set the factor '(4 + 7m)' equal to zero and attempt to solve: Simplifying 4 + 7m = 0 Solving 4 + 7m = 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 + 7m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7m = 0 + -4 7m = 0 + -4 Combine like terms: 0 + -4 = -4 7m = -4 Divide each side by '7'. m = -0.5714285714 Simplifying m = -0.5714285714

Solution

m = {-0.5714285714, -0.5714285714}

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