(3m+2)(m-1)=

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Solution for (3m+2)(m-1)= equation:


Simplifying
(3m + 2)(m + -1) = 0

Reorder the terms:
(2 + 3m)(m + -1) = 0

Reorder the terms:
(2 + 3m)(-1 + m) = 0

Multiply (2 + 3m) * (-1 + m)
(2(-1 + m) + 3m * (-1 + m)) = 0
((-1 * 2 + m * 2) + 3m * (-1 + m)) = 0
((-2 + 2m) + 3m * (-1 + m)) = 0
(-2 + 2m + (-1 * 3m + m * 3m)) = 0
(-2 + 2m + (-3m + 3m2)) = 0

Combine like terms: 2m + -3m = -1m
(-2 + -1m + 3m2) = 0

Solving
-2 + -1m + 3m2 = 0

Solving for variable 'm'.

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

Subproblem 1

Set the factor '(-2 + -3m)' equal to zero and attempt to solve: Simplifying -2 + -3m = 0 Solving -2 + -3m = 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 + -3m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3m = 0 + 2 -3m = 0 + 2 Combine like terms: 0 + 2 = 2 -3m = 2 Divide each side by '-3'. m = -0.6666666667 Simplifying m = -0.6666666667

Subproblem 2

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

Solution

m = {-0.6666666667, 1}

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