(3m-2)(m-7)=0

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Solution for (3m-2)(m-7)=0 equation:


Simplifying
(3m + -2)(m + -7) = 0

Reorder the terms:
(-2 + 3m)(m + -7) = 0

Reorder the terms:
(-2 + 3m)(-7 + m) = 0

Multiply (-2 + 3m) * (-7 + m)
(-2(-7 + m) + 3m * (-7 + m)) = 0
((-7 * -2 + m * -2) + 3m * (-7 + m)) = 0
((14 + -2m) + 3m * (-7 + m)) = 0
(14 + -2m + (-7 * 3m + m * 3m)) = 0
(14 + -2m + (-21m + 3m2)) = 0

Combine like terms: -2m + -21m = -23m
(14 + -23m + 3m2) = 0

Solving
14 + -23m + 3m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(2 + -3m)(7 + -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 '(7 + -1m)' equal to zero and attempt to solve: Simplifying 7 + -1m = 0 Solving 7 + -1m = 0 Move all terms containing m to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1m = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1m = 0 + -7 -1m = 0 + -7 Combine like terms: 0 + -7 = -7 -1m = -7 Divide each side by '-1'. m = 7 Simplifying m = 7

Solution

m = {0.6666666667, 7}

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