8m^2-78m+19=0

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Solution for 8m^2-78m+19=0 equation:


Simplifying
8m2 + -78m + 19 = 0

Reorder the terms:
19 + -78m + 8m2 = 0

Solving
19 + -78m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -4m)(19 + -2m) = 0

Subproblem 1

Set the factor '(1 + -4m)' equal to zero and attempt to solve: Simplifying 1 + -4m = 0 Solving 1 + -4m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4m = 0 + -1 -4m = 0 + -1 Combine like terms: 0 + -1 = -1 -4m = -1 Divide each side by '-4'. m = 0.25 Simplifying m = 0.25

Subproblem 2

Set the factor '(19 + -2m)' equal to zero and attempt to solve: Simplifying 19 + -2m = 0 Solving 19 + -2m = 0 Move all terms containing m to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2m = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -2m = 0 + -19 -2m = 0 + -19 Combine like terms: 0 + -19 = -19 -2m = -19 Divide each side by '-2'. m = 9.5 Simplifying m = 9.5

Solution

m = {0.25, 9.5}

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