P(x)=3x+5x

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


Simplifying
P(x) = 3x + 5x

Multiply P * x
xP = 3x + 5x

Combine like terms: 3x + 5x = 8x
xP = 8x

Solving
xP = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-8x + xP = 8x + -8x

Combine like terms: 8x + -8x = 0
-8x + xP = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8 + P) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-8 + P)' equal to zero and attempt to solve:

Simplifying
-8 + P = 0

Solving
-8 + P = 0

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

Add '8' to each side of the equation.
-8 + 8 + P = 0 + 8

Combine like terms: -8 + 8 = 0
0 + P = 0 + 8
P = 0 + 8

Combine like terms: 0 + 8 = 8
P = 8

Add '-1P' to each side of the equation.
P + -1P = 8 + -1P

Combine like terms: P + -1P = 0
0 = 8 + -1P

Simplifying
0 = 8 + -1P

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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