P(x)=21x+k^2x

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Solution for P(x)=21x+k^2x equation: 


Simplifying
P(x) = 21x + k2x

Multiply P * x
xP = 21x + k2x

Reorder the terms:
xP = k2x + 21x

Solving
xP = k2x + 21x

Solving for variable 'x'.

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

Add '-1k2x' to each side of the equation.
-1k2x + xP = k2x + -1k2x + 21x

Combine like terms: k2x + -1k2x = 0
-1k2x + xP = 0 + 21x
-1k2x + xP = 21x

Add '-21x' to each side of the equation.
-1k2x + -21x + xP = 21x + -21x

Combine like terms: 21x + -21x = 0
-1k2x + -21x + xP = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1k2 + -21 + 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 '(-1k2 + -21 + P)' equal to zero and attempt to solve:

Simplifying
-1k2 + -21 + P = 0

Reorder the terms:
-21 + P + -1k2 = 0

Solving
-21 + P + -1k2 = 0

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

Add '21' to each side of the equation.
-21 + P + 21 + -1k2 = 0 + 21

Reorder the terms:
-21 + 21 + P + -1k2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + P + -1k2 = 0 + 21
P + -1k2 = 0 + 21

Combine like terms: 0 + 21 = 21
P + -1k2 = 21

Add '-1P' to each side of the equation.
P + -1P + -1k2 = 21 + -1P

Combine like terms: P + -1P = 0
0 + -1k2 = 21 + -1P
-1k2 = 21 + -1P

Add 'k2' to each side of the equation.
-1k2 + k2 = 21 + -1P + k2

Combine like terms: -1k2 + k2 = 0
0 = 21 + -1P + k2

Simplifying
0 = 21 + -1P + k2

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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