(p-5)x(3P+2)=x

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Solution for (p-5)x(3P+2)=x equation: 


Simplifying
(p + -5) * x(3P + 2) = x

Reorder the terms:
(-5 + p) * x(3P + 2) = x

Reorder the terms:
(-5 + p) * x(2 + 3P) = x

Reorder the terms for easier multiplication:
x(-5 + p)(2 + 3P) = x

Multiply (-5 + p) * (2 + 3P)
x(-5(2 + 3P) + p(2 + 3P)) = x
x((2 * -5 + 3P * -5) + p(2 + 3P)) = x
x((-10 + -15P) + p(2 + 3P)) = x
x(-10 + -15P + (2 * p + 3P * p)) = x
x(-10 + -15P + (2p + 3pP)) = x
x(-10 + -15P + 2p + 3pP) = x
(-10 * x + -15P * x + 2p * x + 3pP * x) = x

Reorder the terms:
(2px + 3pxP + -10x + -15xP) = x
(2px + 3pxP + -10x + -15xP) = x

Solving
2px + 3pxP + -10x + -15xP = x

Solving for variable 'p'.

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

Add '10x' to each side of the equation.
2px + 3pxP + -10x + 10x + -15xP = x + 10x

Combine like terms: -10x + 10x = 0
2px + 3pxP + 0 + -15xP = x + 10x
2px + 3pxP + -15xP = x + 10x

Combine like terms: x + 10x = 11x
2px + 3pxP + -15xP = 11x

Add '15xP' to each side of the equation.
2px + 3pxP + -15xP + 15xP = 11x + 15xP

Combine like terms: -15xP + 15xP = 0
2px + 3pxP + 0 = 11x + 15xP
2px + 3pxP = 11x + 15xP

Reorder the terms:
2px + 3pxP + -11x + -15xP = 11x + -11x + 15xP + -15xP

Combine like terms: 11x + -11x = 0
2px + 3pxP + -11x + -15xP = 0 + 15xP + -15xP
2px + 3pxP + -11x + -15xP = 15xP + -15xP

Combine like terms: 15xP + -15xP = 0
2px + 3pxP + -11x + -15xP = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(2p + 3pP + -11 + -15P) = 0


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

Simplifying
x = 0

Solving
x = 0

Move all terms containing p 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 '(2p + 3pP + -11 + -15P)' equal to zero and attempt to solve:

Simplifying
2p + 3pP + -11 + -15P = 0

Reorder the terms:
-11 + -15P + 2p + 3pP = 0

Solving
-11 + -15P + 2p + 3pP = 0

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

Add '11' to each side of the equation.
-11 + -15P + 2p + 11 + 3pP = 0 + 11

Reorder the terms:
-11 + 11 + -15P + 2p + 3pP = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -15P + 2p + 3pP = 0 + 11
-15P + 2p + 3pP = 0 + 11

Combine like terms: 0 + 11 = 11
-15P + 2p + 3pP = 11

Add '15P' to each side of the equation.
-15P + 2p + 15P + 3pP = 11 + 15P

Reorder the terms:
-15P + 15P + 2p + 3pP = 11 + 15P

Combine like terms: -15P + 15P = 0
0 + 2p + 3pP = 11 + 15P
2p + 3pP = 11 + 15P

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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