((x+3)m)((2x-1)m)=15

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Solution for ((x+3)m)((2x-1)m)=15 equation:


Simplifying
((x + 3) * m)((2x + -1) * m) = 15

Reorder the terms:
((3 + x) * m)((2x + -1) * m) = 15

Reorder the terms for easier multiplication:
(m(3 + x))((2x + -1) * m) = 15
((3 * m + x * m))((2x + -1) * m) = 15
((3m + mx))((2x + -1) * m) = 15

Reorder the terms:
(3m + mx)((-1 + 2x) * m) = 15

Reorder the terms for easier multiplication:
(3m + mx)(m(-1 + 2x)) = 15
(3m + mx)((-1 * m + 2x * m)) = 15
(3m + mx)((-1m + 2mx)) = 15

Multiply (3m + mx) * (-1m + 2mx)
(3m * (-1m + 2mx) + mx(-1m + 2mx)) = 15
((-1m * 3m + 2mx * 3m) + mx(-1m + 2mx)) = 15
((-3m2 + 6m2x) + mx(-1m + 2mx)) = 15
(-3m2 + 6m2x + (-1m * mx + 2mx * mx)) = 15
(-3m2 + 6m2x + (-1m2x + 2m2x2)) = 15

Combine like terms: 6m2x + -1m2x = 5m2x
(-3m2 + 5m2x + 2m2x2) = 15

Solving
-3m2 + 5m2x + 2m2x2 = 15

Solving for variable 'm'.

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

Reorder the terms:
-15 + -3m2 + 5m2x + 2m2x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -3m2 + 5m2x + 2m2x2 = 0

The solution to this equation could not be determined.

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