7m^2+40m-12=0

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Solution for 7m^2+40m-12=0 equation:


Simplifying
7m2 + 40m + -12 = 0

Reorder the terms:
-12 + 40m + 7m2 = 0

Solving
-12 + 40m + 7m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-6 + -1m)(2 + -7m) = 0

Subproblem 1

Set the factor '(-6 + -1m)' equal to zero and attempt to solve: Simplifying -6 + -1m = 0 Solving -6 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1m = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1m = 0 + 6 -1m = 0 + 6 Combine like terms: 0 + 6 = 6 -1m = 6 Divide each side by '-1'. m = -6 Simplifying m = -6

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 = {-6, 0.2857142857}

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