15m^2-47m+28=0

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Solution for 15m^2-47m+28=0 equation:


Simplifying
15m2 + -47m + 28 = 0

Reorder the terms:
28 + -47m + 15m2 = 0

Solving
28 + -47m + 15m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(4 + -5m)(7 + -3m) = 0

Subproblem 1

Set the factor '(4 + -5m)' equal to zero and attempt to solve: Simplifying 4 + -5m = 0 Solving 4 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -5m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = 0 + -4 -5m = 0 + -4 Combine like terms: 0 + -4 = -4 -5m = -4 Divide each side by '-5'. m = 0.8 Simplifying m = 0.8

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 = {0.8, 2.333333333}

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