p(x^2+3x+2)=-q(x^2-4x+3)

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Solution for p(x^2+3x+2)=-q(x^2-4x+3) equation:


Simplifying
p(x2 + 3x + 2) = -1q(x2 + -4x + 3)

Reorder the terms:
p(2 + 3x + x2) = -1q(x2 + -4x + 3)
(2 * p + 3x * p + x2 * p) = -1q(x2 + -4x + 3)
(2p + 3px + px2) = -1q(x2 + -4x + 3)

Reorder the terms:
2p + 3px + px2 = -1q(3 + -4x + x2)
2p + 3px + px2 = (3 * -1q + -4x * -1q + x2 * -1q)
2p + 3px + px2 = (-3q + 4qx + -1qx2)

Solving
2p + 3px + px2 = -3q + 4qx + -1qx2

Solving for variable 'p'.

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

Reorder the terms:
2p + 3px + px2 + 3q + -4qx + qx2 = -3q + 3q + 4qx + -4qx + -1qx2 + qx2

Combine like terms: -3q + 3q = 0
2p + 3px + px2 + 3q + -4qx + qx2 = 0 + 4qx + -4qx + -1qx2 + qx2
2p + 3px + px2 + 3q + -4qx + qx2 = 4qx + -4qx + -1qx2 + qx2

Combine like terms: 4qx + -4qx = 0
2p + 3px + px2 + 3q + -4qx + qx2 = 0 + -1qx2 + qx2
2p + 3px + px2 + 3q + -4qx + qx2 = -1qx2 + qx2

Combine like terms: -1qx2 + qx2 = 0
2p + 3px + px2 + 3q + -4qx + qx2 = 0

The solution to this equation could not be determined.

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