2x(m+5)(m-3)-m(m-3)(m-5)=(4+14x)(m-5)

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Solution for 2x(m+5)(m-3)-m(m-3)(m-5)=(4+14x)(m-5) equation: 


Simplifying
2x(m + 5)(m + -3) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)

Reorder the terms:
2x(5 + m)(m + -3) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)

Reorder the terms:
2x(5 + m)(-3 + m) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)

Multiply (5 + m) * (-3 + m)
2x(5(-3 + m) + m(-3 + m)) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)
2x((-3 * 5 + m * 5) + m(-3 + m)) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)
2x((-15 + 5m) + m(-3 + m)) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)
2x(-15 + 5m + (-3 * m + m * m)) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)
2x(-15 + 5m + (-3m + m2)) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)

Combine like terms: 5m + -3m = 2m
2x(-15 + 2m + m2) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)
(-15 * 2x + 2m * 2x + m2 * 2x) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)

Reorder the terms:
(4mx + 2m2x + -30x) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)
(4mx + 2m2x + -30x) + -1m(m + -3)(m + -5) = (4 + 14x)(m + -5)

Reorder the terms:
4mx + 2m2x + -30x + -1m(-3 + m)(m + -5) = (4 + 14x)(m + -5)

Reorder the terms:
4mx + 2m2x + -30x + -1m(-3 + m)(-5 + m) = (4 + 14x)(m + -5)

Multiply (-3 + m) * (-5 + m)
4mx + 2m2x + -30x + -1m(-3(-5 + m) + m(-5 + m)) = (4 + 14x)(m + -5)
4mx + 2m2x + -30x + -1m((-5 * -3 + m * -3) + m(-5 + m)) = (4 + 14x)(m + -5)
4mx + 2m2x + -30x + -1m((15 + -3m) + m(-5 + m)) = (4 + 14x)(m + -5)
4mx + 2m2x + -30x + -1m(15 + -3m + (-5 * m + m * m)) = (4 + 14x)(m + -5)
4mx + 2m2x + -30x + -1m(15 + -3m + (-5m + m2)) = (4 + 14x)(m + -5)

Combine like terms: -3m + -5m = -8m
4mx + 2m2x + -30x + -1m(15 + -8m + m2) = (4 + 14x)(m + -5)
4mx + 2m2x + -30x + (15 * -1m + -8m * -1m + m2 * -1m) = (4 + 14x)(m + -5)
4mx + 2m2x + -30x + (-15m + 8m2 + -1m3) = (4 + 14x)(m + -5)

Reorder the terms:
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = (4 + 14x)(m + -5)

Reorder the terms:
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = (4 + 14x)(-5 + m)

Multiply (4 + 14x) * (-5 + m)
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = (4(-5 + m) + 14x * (-5 + m))
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = ((-5 * 4 + m * 4) + 14x * (-5 + m))
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = ((-20 + 4m) + 14x * (-5 + m))
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = (-20 + 4m + (-5 * 14x + m * 14x))

Reorder the terms:
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = (-20 + 4m + (14mx + -70x))
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = (-20 + 4m + (14mx + -70x))
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = (-20 + 4m + 14mx + -70x)

Solving
-15m + 4mx + 8m2 + 2m2x + -1m3 + -30x = -20 + 4m + 14mx + -70x

Solving for variable 'm'.

Reorder the terms:
20 + -15m + -4m + 4mx + -14mx + 8m2 + 2m2x + -1m3 + -30x + 70x = -20 + 4m + 14mx + -70x + 20 + -4m + -14mx + 70x

Combine like terms: -15m + -4m = -19m
20 + -19m + 4mx + -14mx + 8m2 + 2m2x + -1m3 + -30x + 70x = -20 + 4m + 14mx + -70x + 20 + -4m + -14mx + 70x

Combine like terms: 4mx + -14mx = -10mx
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + -30x + 70x = -20 + 4m + 14mx + -70x + 20 + -4m + -14mx + 70x

Combine like terms: -30x + 70x = 40x
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = -20 + 4m + 14mx + -70x + 20 + -4m + -14mx + 70x

Reorder the terms:
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = -20 + 20 + 4m + -4m + 14mx + -14mx + -70x + 70x

Combine like terms: -20 + 20 = 0
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = 0 + 4m + -4m + 14mx + -14mx + -70x + 70x
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = 4m + -4m + 14mx + -14mx + -70x + 70x

Combine like terms: 4m + -4m = 0
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = 0 + 14mx + -14mx + -70x + 70x
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = 14mx + -14mx + -70x + 70x

Combine like terms: 14mx + -14mx = 0
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = 0 + -70x + 70x
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = -70x + 70x

Combine like terms: -70x + 70x = 0
20 + -19m + -10mx + 8m2 + 2m2x + -1m3 + 40x = 0

The solution to this equation could not be determined.

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