5m^2+41m-90=0

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Solution for 5m^2+41m-90=0 equation:


Simplifying
5m2 + 41m + -90 = 0

Reorder the terms:
-90 + 41m + 5m2 = 0

Solving
-90 + 41m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-10 + -1m)(9 + -5m) = 0

Subproblem 1

Set the factor '(-10 + -1m)' equal to zero and attempt to solve: Simplifying -10 + -1m = 0 Solving -10 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1m = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1m = 0 + 10 -1m = 0 + 10 Combine like terms: 0 + 10 = 10 -1m = 10 Divide each side by '-1'. m = -10 Simplifying m = -10

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 = {-10, 1.8}

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