10m^2-74m+28=0

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Solution for 10m^2-74m+28=0 equation:


Simplifying
10m2 + -74m + 28 = 0

Reorder the terms:
28 + -74m + 10m2 = 0

Solving
28 + -74m + 10m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -37m + 5m2) = 0

Factor a trinomial.
2((2 + -5m)(7 + -1m)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -5m)' equal to zero and attempt to solve: Simplifying 2 + -5m = 0 Solving 2 + -5m = 0 Move all terms containing m to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5m = 0 + -2 -5m = 0 + -2 Combine like terms: 0 + -2 = -2 -5m = -2 Divide each side by '-5'. m = 0.4 Simplifying m = 0.4

Subproblem 2

Set the factor '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 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 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7

Solution

m = {0.4, 7}

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