42m^2-89m-21=0

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Solution for 42m^2-89m-21=0 equation:


Simplifying
42m2 + -89m + -21 = 0

Reorder the terms:
-21 + -89m + 42m2 = 0

Solving
-21 + -89m + 42m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -14m)(7 + -3m) = 0

Subproblem 1

Set the factor '(-3 + -14m)' equal to zero and attempt to solve: Simplifying -3 + -14m = 0 Solving -3 + -14m = 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 + -14m = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -14m = 0 + 3 -14m = 0 + 3 Combine like terms: 0 + 3 = 3 -14m = 3 Divide each side by '-14'. m = -0.2142857143 Simplifying m = -0.2142857143

Subproblem 2

Set the factor '(7 + -3m)' equal to zero and attempt to solve: Simplifying 7 + -3m = 0 Solving 7 + -3m = 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 + -3m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3m = 0 + -7 -3m = 0 + -7 Combine like terms: 0 + -7 = -7 -3m = -7 Divide each side by '-3'. m = 2.333333333 Simplifying m = 2.333333333

Solution

m = {-0.2142857143, 2.333333333}

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