15m^2-34m+15=0

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Solution for 15m^2-34m+15=0 equation:


Simplifying
15m2 + -34m + 15 = 0

Reorder the terms:
15 + -34m + 15m2 = 0

Solving
15 + -34m + 15m2 = 0

Solving for variable 'm'.

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

Subproblem 1

Set the factor '(3 + -5m)' equal to zero and attempt to solve: Simplifying 3 + -5m = 0 Solving 3 + -5m = 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 + -5m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5m = 0 + -3 -5m = 0 + -3 Combine like terms: 0 + -3 = -3 -5m = -3 Divide each side by '-5'. m = 0.6 Simplifying m = 0.6

Subproblem 2

Set the factor '(5 + -3m)' equal to zero and attempt to solve: Simplifying 5 + -3m = 0 Solving 5 + -3m = 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 + -3m = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3m = 0 + -5 -3m = 0 + -5 Combine like terms: 0 + -5 = -5 -3m = -5 Divide each side by '-3'. m = 1.666666667 Simplifying m = 1.666666667

Solution

m = {0.6, 1.666666667}

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