(4m+p)(3m-2p)=

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


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

Multiply (4m + p) * (3m + -2p)
(4m * (3m + -2p) + p(3m + -2p)) = 0
((3m * 4m + -2p * 4m) + p(3m + -2p)) = 0

Reorder the terms:
((-8mp + 12m2) + p(3m + -2p)) = 0
((-8mp + 12m2) + p(3m + -2p)) = 0
(-8mp + 12m2 + (3m * p + -2p * p)) = 0
(-8mp + 12m2 + (3mp + -2p2)) = 0

Reorder the terms:
(-8mp + 3mp + 12m2 + -2p2) = 0

Combine like terms: -8mp + 3mp = -5mp
(-5mp + 12m2 + -2p2) = 0

Solving
-5mp + 12m2 + -2p2 = 0

Solving for variable 'm'.

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


Subproblem 1
Set the factor '(3m + -2p)' equal to zero and attempt to solve:

Simplifying
3m + -2p = 0

Solving
3m + -2p = 0

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

Add '2p' to each side of the equation.
3m + -2p + 2p = 0 + 2p

Combine like terms: -2p + 2p = 0
3m + 0 = 0 + 2p
3m = 0 + 2p
Remove the zero:
3m = 2p

Divide each side by '3'.
m = 0.6666666667p

Simplifying
m = 0.6666666667p

Subproblem 2
Set the factor '(4m + p)' equal to zero and attempt to solve:

Simplifying
4m + p = 0

Solving
4m + p = 0

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

Add '-1p' to each side of the equation.
4m + p + -1p = 0 + -1p

Combine like terms: p + -1p = 0
4m + 0 = 0 + -1p
4m = 0 + -1p
Remove the zero:
4m = -1p

Divide each side by '4'.
m = -0.25p

Simplifying
m = -0.25p
Solution
m = {0.6666666667p, -0.25p}

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