49m^2+399m+392=0

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Solution for 49m^2+399m+392=0 equation:


Simplifying
49m2 + 399m + 392 = 0

Reorder the terms:
392 + 399m + 49m2 = 0

Solving
392 + 399m + 49m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '7'.
7(56 + 57m + 7m2) = 0

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

Ignore the factor 7.

Subproblem 1

Set the factor '(7 + m)' equal to zero and attempt to solve: Simplifying 7 + m = 0 Solving 7 + m = 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 + m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + m = 0 + -7 m = 0 + -7 Combine like terms: 0 + -7 = -7 m = -7 Simplifying m = -7

Subproblem 2

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

Solution

m = {-7, -1.142857143}

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