(4m-5)x(3-m)=(2p+20)x(20)

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Solution for (4m-5)x(3-m)=(2p+20)x(20) equation: 


Simplifying
(4m + -5) * x(3 + -1m) = (2p + 20) * x(20)

Reorder the terms:
(-5 + 4m) * x(3 + -1m) = (2p + 20) * x(20)

Reorder the terms for easier multiplication:
x(-5 + 4m)(3 + -1m) = (2p + 20) * x(20)

Multiply (-5 + 4m) * (3 + -1m)
x(-5(3 + -1m) + 4m * (3 + -1m)) = (2p + 20) * x(20)
x((3 * -5 + -1m * -5) + 4m * (3 + -1m)) = (2p + 20) * x(20)
x((-15 + 5m) + 4m * (3 + -1m)) = (2p + 20) * x(20)
x(-15 + 5m + (3 * 4m + -1m * 4m)) = (2p + 20) * x(20)
x(-15 + 5m + (12m + -4m2)) = (2p + 20) * x(20)

Combine like terms: 5m + 12m = 17m
x(-15 + 17m + -4m2) = (2p + 20) * x(20)
(-15 * x + 17m * x + -4m2 * x) = (2p + 20) * x(20)

Reorder the terms:
(17mx + -4m2x + -15x) = (2p + 20) * x(20)
(17mx + -4m2x + -15x) = (2p + 20) * x(20)

Reorder the terms:
17mx + -4m2x + -15x = (20 + 2p) * x(20)

Reorder the terms for easier multiplication:
17mx + -4m2x + -15x = 20x(20 + 2p)
17mx + -4m2x + -15x = (20 * 20x + 2p * 20x)

Reorder the terms:
17mx + -4m2x + -15x = (40px + 400x)
17mx + -4m2x + -15x = (40px + 400x)

Solving
17mx + -4m2x + -15x = 40px + 400x

Solving for variable 'm'.

Reorder the terms:
17mx + -4m2x + -40px + -15x + -400x = 40px + 400x + -40px + -400x

Combine like terms: -15x + -400x = -415x
17mx + -4m2x + -40px + -415x = 40px + 400x + -40px + -400x

Reorder the terms:
17mx + -4m2x + -40px + -415x = 40px + -40px + 400x + -400x

Combine like terms: 40px + -40px = 0
17mx + -4m2x + -40px + -415x = 0 + 400x + -400x
17mx + -4m2x + -40px + -415x = 400x + -400x

Combine like terms: 400x + -400x = 0
17mx + -4m2x + -40px + -415x = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(17m + -4m2 + -40p + -415) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(17m + -4m2 + -40p + -415)' equal to zero and attempt to solve:

Simplifying
17m + -4m2 + -40p + -415 = 0

Reorder the terms:
-415 + 17m + -4m2 + -40p = 0

Solving
-415 + 17m + -4m2 + -40p = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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