(x+2)(x-3)(x+6)(x-9)+21x^2=

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Solution for (x+2)(x-3)(x+6)(x-9)+21x^2= equation: 


Simplifying
(x + 2)(x + -3)(x + 6)(x + -9) + 21x2 = 0

Reorder the terms:
(2 + x)(x + -3)(x + 6)(x + -9) + 21x2 = 0

Reorder the terms:
(2 + x)(-3 + x)(x + 6)(x + -9) + 21x2 = 0

Reorder the terms:
(2 + x)(-3 + x)(6 + x)(x + -9) + 21x2 = 0

Reorder the terms:
(2 + x)(-3 + x)(6 + x)(-9 + x) + 21x2 = 0

Multiply (2 + x) * (-3 + x)
(2(-3 + x) + x(-3 + x))(6 + x)(-9 + x) + 21x2 = 0
((-3 * 2 + x * 2) + x(-3 + x))(6 + x)(-9 + x) + 21x2 = 0
((-6 + 2x) + x(-3 + x))(6 + x)(-9 + x) + 21x2 = 0
(-6 + 2x + (-3 * x + x * x))(6 + x)(-9 + x) + 21x2 = 0
(-6 + 2x + (-3x + x2))(6 + x)(-9 + x) + 21x2 = 0

Combine like terms: 2x + -3x = -1x
(-6 + -1x + x2)(6 + x)(-9 + x) + 21x2 = 0

Multiply (-6 + -1x + x2) * (6 + x)
(-6(6 + x) + -1x * (6 + x) + x2(6 + x))(-9 + x) + 21x2 = 0
((6 * -6 + x * -6) + -1x * (6 + x) + x2(6 + x))(-9 + x) + 21x2 = 0
((-36 + -6x) + -1x * (6 + x) + x2(6 + x))(-9 + x) + 21x2 = 0
(-36 + -6x + (6 * -1x + x * -1x) + x2(6 + x))(-9 + x) + 21x2 = 0
(-36 + -6x + (-6x + -1x2) + x2(6 + x))(-9 + x) + 21x2 = 0
(-36 + -6x + -6x + -1x2 + (6 * x2 + x * x2))(-9 + x) + 21x2 = 0
(-36 + -6x + -6x + -1x2 + (6x2 + x3))(-9 + x) + 21x2 = 0

Combine like terms: -6x + -6x = -12x
(-36 + -12x + -1x2 + 6x2 + x3)(-9 + x) + 21x2 = 0

Combine like terms: -1x2 + 6x2 = 5x2
(-36 + -12x + 5x2 + x3)(-9 + x) + 21x2 = 0

Multiply (-36 + -12x + 5x2 + x3) * (-9 + x)
(-36(-9 + x) + -12x * (-9 + x) + 5x2 * (-9 + x) + x3(-9 + x)) + 21x2 = 0
((-9 * -36 + x * -36) + -12x * (-9 + x) + 5x2 * (-9 + x) + x3(-9 + x)) + 21x2 = 0
((324 + -36x) + -12x * (-9 + x) + 5x2 * (-9 + x) + x3(-9 + x)) + 21x2 = 0
(324 + -36x + (-9 * -12x + x * -12x) + 5x2 * (-9 + x) + x3(-9 + x)) + 21x2 = 0
(324 + -36x + (108x + -12x2) + 5x2 * (-9 + x) + x3(-9 + x)) + 21x2 = 0
(324 + -36x + 108x + -12x2 + (-9 * 5x2 + x * 5x2) + x3(-9 + x)) + 21x2 = 0
(324 + -36x + 108x + -12x2 + (-45x2 + 5x3) + x3(-9 + x)) + 21x2 = 0
(324 + -36x + 108x + -12x2 + -45x2 + 5x3 + (-9 * x3 + x * x3)) + 21x2 = 0
(324 + -36x + 108x + -12x2 + -45x2 + 5x3 + (-9x3 + x4)) + 21x2 = 0

Combine like terms: -36x + 108x = 72x
(324 + 72x + -12x2 + -45x2 + 5x3 + -9x3 + x4) + 21x2 = 0

Combine like terms: -12x2 + -45x2 = -57x2
(324 + 72x + -57x2 + 5x3 + -9x3 + x4) + 21x2 = 0

Combine like terms: 5x3 + -9x3 = -4x3
(324 + 72x + -57x2 + -4x3 + x4) + 21x2 = 0

Reorder the terms:
324 + 72x + -57x2 + 21x2 + -4x3 + x4 = 0

Combine like terms: -57x2 + 21x2 = -36x2
324 + 72x + -36x2 + -4x3 + x4 = 0

Solving
324 + 72x + -36x2 + -4x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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