3m^2+5m=2

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Solution for 3m^2+5m=2 equation:


Simplifying
3m2 + 5m = 2

Reorder the terms:
5m + 3m2 = 2

Solving
5m + 3m2 = 2

Solving for variable 'm'.

Reorder the terms:
-2 + 5m + 3m2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 5m + 3m2 = 0

Factor a trinomial.
(-2 + -1m)(1 + -3m) = 0

Subproblem 1

Set the factor '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 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 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Divide each side by '-1'. m = -2 Simplifying m = -2

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 = {-2, 0.3333333333}

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