10m^2+9=21m

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Solution for 10m^2+9=21m equation:


Simplifying
10m2 + 9 = 21m

Reorder the terms:
9 + 10m2 = 21m

Solving
9 + 10m2 = 21m

Solving for variable 'm'.

Reorder the terms:
9 + -21m + 10m2 = 21m + -21m

Combine like terms: 21m + -21m = 0
9 + -21m + 10m2 = 0

Factor a trinomial.
(3 + -5m)(3 + -2m) = 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 '(3 + -2m)' equal to zero and attempt to solve: Simplifying 3 + -2m = 0 Solving 3 + -2m = 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 + -2m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 0 + -3 -2m = 0 + -3 Combine like terms: 0 + -3 = -3 -2m = -3 Divide each side by '-2'. m = 1.5 Simplifying m = 1.5

Solution

m = {0.6, 1.5}

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