(2p+5)(p-9)(p+3)(p-3)-(3p)(p)(p+3)(p-3)+(3)(p)(p+4)(p-9)=x

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Solution for (2p+5)(p-9)(p+3)(p-3)-(3p)(p)(p+3)(p-3)+(3)(p)(p+4)(p-9)=x equation:


Simplifying
(2p + 5)(p + -9)(p + 3)(p + -3) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Reorder the terms:
(5 + 2p)(p + -9)(p + 3)(p + -3) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Reorder the terms:
(5 + 2p)(-9 + p)(p + 3)(p + -3) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Reorder the terms:
(5 + 2p)(-9 + p)(3 + p)(p + -3) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Reorder the terms:
(5 + 2p)(-9 + p)(3 + p)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Multiply (5 + 2p) * (-9 + p)
(5(-9 + p) + 2p * (-9 + p))(3 + p)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
((-9 * 5 + p * 5) + 2p * (-9 + p))(3 + p)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
((-45 + 5p) + 2p * (-9 + p))(3 + p)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(-45 + 5p + (-9 * 2p + p * 2p))(3 + p)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(-45 + 5p + (-18p + 2p2))(3 + p)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Combine like terms: 5p + -18p = -13p
(-45 + -13p + 2p2)(3 + p)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Multiply (-45 + -13p + 2p2) * (3 + p)
(-45(3 + p) + -13p * (3 + p) + 2p2 * (3 + p))(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
((3 * -45 + p * -45) + -13p * (3 + p) + 2p2 * (3 + p))(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
((-135 + -45p) + -13p * (3 + p) + 2p2 * (3 + p))(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(-135 + -45p + (3 * -13p + p * -13p) + 2p2 * (3 + p))(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(-135 + -45p + (-39p + -13p2) + 2p2 * (3 + p))(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(-135 + -45p + -39p + -13p2 + (3 * 2p2 + p * 2p2))(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(-135 + -45p + -39p + -13p2 + (6p2 + 2p3))(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Combine like terms: -45p + -39p = -84p
(-135 + -84p + -13p2 + 6p2 + 2p3)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Combine like terms: -13p2 + 6p2 = -7p2
(-135 + -84p + -7p2 + 2p3)(-3 + p) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Multiply (-135 + -84p + -7p2 + 2p3) * (-3 + p)
(-135(-3 + p) + -84p * (-3 + p) + -7p2 * (-3 + p) + 2p3 * (-3 + p)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
((-3 * -135 + p * -135) + -84p * (-3 + p) + -7p2 * (-3 + p) + 2p3 * (-3 + p)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
((405 + -135p) + -84p * (-3 + p) + -7p2 * (-3 + p) + 2p3 * (-3 + p)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(405 + -135p + (-3 * -84p + p * -84p) + -7p2 * (-3 + p) + 2p3 * (-3 + p)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(405 + -135p + (252p + -84p2) + -7p2 * (-3 + p) + 2p3 * (-3 + p)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(405 + -135p + 252p + -84p2 + (-3 * -7p2 + p * -7p2) + 2p3 * (-3 + p)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(405 + -135p + 252p + -84p2 + (21p2 + -7p3) + 2p3 * (-3 + p)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(405 + -135p + 252p + -84p2 + 21p2 + -7p3 + (-3 * 2p3 + p * 2p3)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x
(405 + -135p + 252p + -84p2 + 21p2 + -7p3 + (-6p3 + 2p4)) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Combine like terms: -135p + 252p = 117p
(405 + 117p + -84p2 + 21p2 + -7p3 + -6p3 + 2p4) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Combine like terms: -84p2 + 21p2 = -63p2
(405 + 117p + -63p2 + -7p3 + -6p3 + 2p4) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Combine like terms: -7p3 + -6p3 = -13p3
(405 + 117p + -63p2 + -13p3 + 2p4) + -1(3p)(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Remove parenthesis around (3p)
405 + 117p + -63p2 + -13p3 + 2p4 + -1 * 3p(p)(p + 3)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Reorder the terms:
405 + 117p + -63p2 + -13p3 + 2p4 + -1 * 3p * p(3 + p)(p + -3) + (3)(p)(p + 4)(p + -9) = x

Reorder the terms:
405 + 117p + -63p2 + -13p3 + 2p4 + -1 * 3p * p(3 + p)(-3 + p) + (3)(p)(p + 4)(p + -9) = x

Multiply -1 * 3
405 + 117p + -63p2 + -13p3 + 2p4 + -3p * p(3 + p)(-3 + p) + (3)(p)(p + 4)(p + -9) = x

Multiply p * p
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2(3 + p)(-3 + p) + (3)(p)(p + 4)(p + -9) = x

Multiply (3 + p) * (-3 + p)
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2(3(-3 + p) + p(-3 + p)) + (3)(p)(p + 4)(p + -9) = x
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2((-3 * 3 + p * 3) + p(-3 + p)) + (3)(p)(p + 4)(p + -9) = x
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2((-9 + 3p) + p(-3 + p)) + (3)(p)(p + 4)(p + -9) = x
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2(-9 + 3p + (-3 * p + p * p)) + (3)(p)(p + 4)(p + -9) = x
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2(-9 + 3p + (-3p + p2)) + (3)(p)(p + 4)(p + -9) = x

Combine like terms: 3p + -3p = 0
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2(-9 + 0 + p2) + (3)(p)(p + 4)(p + -9) = x
405 + 117p + -63p2 + -13p3 + 2p4 + -3p2(-9 + p2) + (3)(p)(p + 4)(p + -9) = x
405 + 117p + -63p2 + -13p3 + 2p4 + (-9 * -3p2 + p2 * -3p2) + (3)(p)(p + 4)(p + -9) = x
405 + 117p + -63p2 + -13p3 + 2p4 + (27p2 + -3p4) + (3)(p)(p + 4)(p + -9) = x

Reorder the terms:
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p(4 + p)(p + -9) = x

Reorder the terms:
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p(4 + p)(-9 + p) = x

Multiply (4 + p) * (-9 + p)
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p(4(-9 + p) + p(-9 + p)) = x
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p((-9 * 4 + p * 4) + p(-9 + p)) = x
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p((-36 + 4p) + p(-9 + p)) = x
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p(-36 + 4p + (-9 * p + p * p)) = x
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p(-36 + 4p + (-9p + p2)) = x

Combine like terms: 4p + -9p = -5p
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + 3p(-36 + -5p + p2) = x
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + (-36 * 3p + -5p * 3p + p2 * 3p) = x
405 + 117p + -63p2 + -13p3 + 2p4 + 27p2 + -3p4 + (-108p + -15p2 + 3p3) = x

Reorder the terms:
405 + 117p + -108p + -63p2 + 27p2 + -15p2 + -13p3 + 3p3 + 2p4 + -3p4 = x

Combine like terms: 117p + -108p = 9p
405 + 9p + -63p2 + 27p2 + -15p2 + -13p3 + 3p3 + 2p4 + -3p4 = x

Combine like terms: -63p2 + 27p2 = -36p2
405 + 9p + -36p2 + -15p2 + -13p3 + 3p3 + 2p4 + -3p4 = x

Combine like terms: -36p2 + -15p2 = -51p2
405 + 9p + -51p2 + -13p3 + 3p3 + 2p4 + -3p4 = x

Combine like terms: -13p3 + 3p3 = -10p3
405 + 9p + -51p2 + -10p3 + 2p4 + -3p4 = x

Combine like terms: 2p4 + -3p4 = -1p4
405 + 9p + -51p2 + -10p3 + -1p4 = x

Solving
405 + 9p + -51p2 + -10p3 + -1p4 = x

Solving for variable 'p'.

Combine like terms: x + -1x = 0
405 + 9p + -51p2 + -10p3 + -1p4 + -1x = 0

The solution to this equation could not be determined.

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