P(x)+P(3X)=10X^2+8X-6

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Solution for P(x)+P(3X)=10X^2+8X-6 equation:


Simplifying
P(x) + P(3X) = 10X2 + 8X + -6

Multiply P * x
xP + P(3X) = 10X2 + 8X + -6

Remove parenthesis around (3X)
xP + P * 3X = 10X2 + 8X + -6

Reorder the terms for easier multiplication:
xP + 3P * X = 10X2 + 8X + -6

Multiply P * X
xP + 3PX = 10X2 + 8X + -6

Reorder the terms:
3PX + xP = 10X2 + 8X + -6

Reorder the terms:
3PX + xP = -6 + 8X + 10X2

Solving
3PX + xP = -6 + 8X + 10X2

Solving for variable 'P'.

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

Reorder the terms:
6 + 3PX + -8X + -10X2 + xP = -6 + 8X + 10X2 + 6 + -8X + -10X2

Reorder the terms:
6 + 3PX + -8X + -10X2 + xP = -6 + 6 + 8X + -8X + 10X2 + -10X2

Combine like terms: -6 + 6 = 0
6 + 3PX + -8X + -10X2 + xP = 0 + 8X + -8X + 10X2 + -10X2
6 + 3PX + -8X + -10X2 + xP = 8X + -8X + 10X2 + -10X2

Combine like terms: 8X + -8X = 0
6 + 3PX + -8X + -10X2 + xP = 0 + 10X2 + -10X2
6 + 3PX + -8X + -10X2 + xP = 10X2 + -10X2

Combine like terms: 10X2 + -10X2 = 0
6 + 3PX + -8X + -10X2 + xP = 0

The solution to this equation could not be determined.

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