16m^2+158m+126=0

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Solution for 16m^2+158m+126=0 equation:


Simplifying
16m2 + 158m + 126 = 0

Reorder the terms:
126 + 158m + 16m2 = 0

Solving
126 + 158m + 16m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(63 + 79m + 8m2) = 0

Factor a trinomial.
2((9 + m)(7 + 8m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(9 + m)' equal to zero and attempt to solve: Simplifying 9 + m = 0 Solving 9 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + m = 0 + -9 m = 0 + -9 Combine like terms: 0 + -9 = -9 m = -9 Simplifying m = -9

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 = {-9, -0.875}

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