21m^2-41m+10=0

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Solution for 21m^2-41m+10=0 equation:


Simplifying
21m2 + -41m + 10 = 0

Reorder the terms:
10 + -41m + 21m2 = 0

Solving
10 + -41m + 21m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -7m)(5 + -3m) = 0

Subproblem 1

Set the factor '(2 + -7m)' equal to zero and attempt to solve: Simplifying 2 + -7m = 0 Solving 2 + -7m = 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 + -7m = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7m = 0 + -2 -7m = 0 + -2 Combine like terms: 0 + -2 = -2 -7m = -2 Divide each side by '-7'. m = 0.2857142857 Simplifying m = 0.2857142857

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 = {0.2857142857, 1.666666667}

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