9m^2-6m+1=0

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Solution for 9m^2-6m+1=0 equation:


Simplifying
9m2 + -6m + 1 = 0

Reorder the terms:
1 + -6m + 9m2 = 0

Solving
1 + -6m + 9m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -3m)(1 + -3m) = 0

Subproblem 1

Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333

Subproblem 2

Set the factor '(1 + -3m)' equal to zero and attempt to solve: Simplifying 1 + -3m = 0 Solving 1 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3m = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3m = 0 + -1 -3m = 0 + -1 Combine like terms: 0 + -1 = -1 -3m = -1 Divide each side by '-3'. m = 0.3333333333 Simplifying m = 0.3333333333

Solution

m = {0.3333333333, 0.3333333333}

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