4(3m-2)(m+9)=0

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Solution for 4(3m-2)(m+9)=0 equation: 


Simplifying
4(3m + -2)(m + 9) = 0

Reorder the terms:
4(-2 + 3m)(m + 9) = 0

Reorder the terms:
4(-2 + 3m)(9 + m) = 0

Multiply (-2 + 3m) * (9 + m)
4(-2(9 + m) + 3m * (9 + m)) = 0
4((9 * -2 + m * -2) + 3m * (9 + m)) = 0
4((-18 + -2m) + 3m * (9 + m)) = 0
4(-18 + -2m + (9 * 3m + m * 3m)) = 0
4(-18 + -2m + (27m + 3m2)) = 0

Combine like terms: -2m + 27m = 25m
4(-18 + 25m + 3m2) = 0
(-18 * 4 + 25m * 4 + 3m2 * 4) = 0
(-72 + 100m + 12m2) = 0

Solving
-72 + 100m + 12m2 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-18 + 25m + 3m2) = 0

Factor a trinomial.
4((-9 + -1m)(2 + -3m)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -1m)' equal to zero and attempt to solve:

Simplifying
-9 + -1m = 0

Solving
-9 + -1m = 0

Move all terms containing m to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + -1m = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1m = 0 + 9
-1m = 0 + 9

Combine like terms: 0 + 9 = 9
-1m = 9

Divide each side by '-1'.
m = -9

Simplifying
m = -9

Subproblem 2
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
Solution
m = {-9, 0.6666666667}

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