(3m-13)(m+2)=0

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Solution for (3m-13)(m+2)=0 equation:


Simplifying
(3m + -13)(m + 2) = 0

Reorder the terms:
(-13 + 3m)(m + 2) = 0

Reorder the terms:
(-13 + 3m)(2 + m) = 0

Multiply (-13 + 3m) * (2 + m)
(-13(2 + m) + 3m * (2 + m)) = 0
((2 * -13 + m * -13) + 3m * (2 + m)) = 0
((-26 + -13m) + 3m * (2 + m)) = 0
(-26 + -13m + (2 * 3m + m * 3m)) = 0
(-26 + -13m + (6m + 3m2)) = 0

Combine like terms: -13m + 6m = -7m
(-26 + -7m + 3m2) = 0

Solving
-26 + -7m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-2 + -1m)(13 + -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 '(13 + -3m)' equal to zero and attempt to solve: Simplifying 13 + -3m = 0 Solving 13 + -3m = 0 Move all terms containing m to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3m = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3m = 0 + -13 -3m = 0 + -13 Combine like terms: 0 + -13 = -13 -3m = -13 Divide each side by '-3'. m = 4.333333333 Simplifying m = 4.333333333

Solution

m = {-2, 4.333333333}

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