45m^2-56m-45=0

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Solution for 45m^2-56m-45=0 equation:


Simplifying
45m2 + -56m + -45 = 0

Reorder the terms:
-45 + -56m + 45m2 = 0

Solving
-45 + -56m + 45m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -9m)(9 + -5m) = 0

Subproblem 1

Set the factor '(-5 + -9m)' equal to zero and attempt to solve: Simplifying -5 + -9m = 0 Solving -5 + -9m = 0 Move all terms containing m to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9m = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9m = 0 + 5 -9m = 0 + 5 Combine like terms: 0 + 5 = 5 -9m = 5 Divide each side by '-9'. m = -0.5555555556 Simplifying m = -0.5555555556

Subproblem 2

Set the factor '(9 + -5m)' equal to zero and attempt to solve: Simplifying 9 + -5m = 0 Solving 9 + -5m = 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 + -5m = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = 0 + -9 -5m = 0 + -9 Combine like terms: 0 + -9 = -9 -5m = -9 Divide each side by '-5'. m = 1.8 Simplifying m = 1.8

Solution

m = {-0.5555555556, 1.8}

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