(3m+4)(6m+m-2)=0

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Solution for (3m+4)(6m+m-2)=0 equation:


Simplifying
(3m + 4)(6m + m + -2) = 0

Reorder the terms:
(4 + 3m)(6m + m + -2) = 0

Reorder the terms:
(4 + 3m)(-2 + 6m + m) = 0

Combine like terms: 6m + m = 7m
(4 + 3m)(-2 + 7m) = 0

Multiply (4 + 3m) * (-2 + 7m)
(4(-2 + 7m) + 3m * (-2 + 7m)) = 0
((-2 * 4 + 7m * 4) + 3m * (-2 + 7m)) = 0
((-8 + 28m) + 3m * (-2 + 7m)) = 0
(-8 + 28m + (-2 * 3m + 7m * 3m)) = 0
(-8 + 28m + (-6m + 21m2)) = 0

Combine like terms: 28m + -6m = 22m
(-8 + 22m + 21m2) = 0

Solving
-8 + 22m + 21m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-4 + -3m)(2 + -7m) = 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 '(2 + -7m)' equal to zero and attempt to solve:

Simplifying
2 + -7m = 0

Solving
2 + -7m = 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 + -7m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7m = 0 + -2
-7m = 0 + -2

Combine like terms: 0 + -2 = -2
-7m = -2

Divide each side by '-7'.
m = 0.2857142857

Simplifying
m = 0.2857142857
Solution
m = {-1.333333333, 0.2857142857}

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