3m^2-13m+9=-3

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Solution for 3m^2-13m+9=-3 equation:


Simplifying
3m2 + -13m + 9 = -3

Reorder the terms:
9 + -13m + 3m2 = -3

Solving
9 + -13m + 3m2 = -3

Solving for variable 'm'.

Reorder the terms:
9 + 3 + -13m + 3m2 = -3 + 3

Combine like terms: 9 + 3 = 12
12 + -13m + 3m2 = -3 + 3

Combine like terms: -3 + 3 = 0
12 + -13m + 3m2 = 0

Factor a trinomial.
(4 + -3m)(3 + -1m) = 0

Subproblem 1

Set the factor '(4 + -3m)' equal to zero and attempt to solve: Simplifying 4 + -3m = 0 Solving 4 + -3m = 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 + -3m = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3m = 0 + -4 -3m = 0 + -4 Combine like terms: 0 + -4 = -4 -3m = -4 Divide each side by '-3'. m = 1.333333333 Simplifying m = 1.333333333

Subproblem 2

Set the factor '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 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 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Divide each side by '-1'. m = 3 Simplifying m = 3

Solution

m = {1.333333333, 3}

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