3[p(x^2-1)]+4p(x)p(x)=3x^2-2x+5

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Solution for 3[p(x^2-1)]+4p(x)p(x)=3x^2-2x+5 equation: 


Simplifying
3[p(x2 + -1)] + 4p(x) * p(x) = 3x2 + -2x + 5

Reorder the terms:
3[p(-1 + x2)] + 4p(x) * p(x) = 3x2 + -2x + 5
3[(-1 * p + x2 * p)] + 4p(x) * p(x) = 3x2 + -2x + 5
3[(-1p + px2)] + 4p(x) * p(x) = 3x2 + -2x + 5
[-1p * 3 + px2 * 3] + 4p(x) * p(x) = 3x2 + -2x + 5
[-3p + 3px2] + 4p(x) * p(x) = 3x2 + -2x + 5

Multiply p * x
-3p + 3px2 + 4px * p * x = 3x2 + -2x + 5

Multiply px * p
-3p + 3px2 + 4p2x * x = 3x2 + -2x + 5

Multiply p2x * x
-3p + 3px2 + 4p2x2 = 3x2 + -2x + 5

Reorder the terms:
-3p + 3px2 + 4p2x2 = 5 + -2x + 3x2

Solving
-3p + 3px2 + 4p2x2 = 5 + -2x + 3x2

Solving for variable 'p'.

Reorder the terms:
-5 + -3p + 3px2 + 4p2x2 + 2x + -3x2 = 5 + -2x + 3x2 + -5 + 2x + -3x2

Reorder the terms:
-5 + -3p + 3px2 + 4p2x2 + 2x + -3x2 = 5 + -5 + -2x + 2x + 3x2 + -3x2

Combine like terms: 5 + -5 = 0
-5 + -3p + 3px2 + 4p2x2 + 2x + -3x2 = 0 + -2x + 2x + 3x2 + -3x2
-5 + -3p + 3px2 + 4p2x2 + 2x + -3x2 = -2x + 2x + 3x2 + -3x2

Combine like terms: -2x + 2x = 0
-5 + -3p + 3px2 + 4p2x2 + 2x + -3x2 = 0 + 3x2 + -3x2
-5 + -3p + 3px2 + 4p2x2 + 2x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + -3p + 3px2 + 4p2x2 + 2x + -3x2 = 0

The solution to this equation could not be determined.

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