-40m^2-m+6=0

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Solution for -40m^2-m+6=0 equation:


Simplifying
-40m2 + -1m + 6 = 0

Reorder the terms:
6 + -1m + -40m2 = 0

Solving
6 + -1m + -40m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(3 + -8m)(2 + 5m) = 0

Subproblem 1

Set the factor '(3 + -8m)' equal to zero and attempt to solve: Simplifying 3 + -8m = 0 Solving 3 + -8m = 0 Move all terms containing m to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8m = 0 + -3 -8m = 0 + -3 Combine like terms: 0 + -3 = -3 -8m = -3 Divide each side by '-8'. m = 0.375 Simplifying m = 0.375

Subproblem 2

Set the factor '(2 + 5m)' equal to zero and attempt to solve: Simplifying 2 + 5m = 0 Solving 2 + 5m = 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 + 5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5m = 0 + -2 5m = 0 + -2 Combine like terms: 0 + -2 = -2 5m = -2 Divide each side by '5'. m = -0.4 Simplifying m = -0.4

Solution

m = {0.375, -0.4}

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