(6-x)(x-2)(x+3)(x+9)=24x^2

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Solution for (6-x)(x-2)(x+3)(x+9)=24x^2 equation: 


Simplifying
(6 + -1x)(x + -2)(x + 3)(x + 9) = 24x2

Reorder the terms:
(6 + -1x)(-2 + x)(x + 3)(x + 9) = 24x2

Reorder the terms:
(6 + -1x)(-2 + x)(3 + x)(x + 9) = 24x2

Reorder the terms:
(6 + -1x)(-2 + x)(3 + x)(9 + x) = 24x2

Multiply (6 + -1x) * (-2 + x)
(6(-2 + x) + -1x * (-2 + x))(3 + x)(9 + x) = 24x2
((-2 * 6 + x * 6) + -1x * (-2 + x))(3 + x)(9 + x) = 24x2
((-12 + 6x) + -1x * (-2 + x))(3 + x)(9 + x) = 24x2
(-12 + 6x + (-2 * -1x + x * -1x))(3 + x)(9 + x) = 24x2
(-12 + 6x + (2x + -1x2))(3 + x)(9 + x) = 24x2

Combine like terms: 6x + 2x = 8x
(-12 + 8x + -1x2)(3 + x)(9 + x) = 24x2

Multiply (-12 + 8x + -1x2) * (3 + x)
(-12(3 + x) + 8x * (3 + x) + -1x2 * (3 + x))(9 + x) = 24x2
((3 * -12 + x * -12) + 8x * (3 + x) + -1x2 * (3 + x))(9 + x) = 24x2
((-36 + -12x) + 8x * (3 + x) + -1x2 * (3 + x))(9 + x) = 24x2
(-36 + -12x + (3 * 8x + x * 8x) + -1x2 * (3 + x))(9 + x) = 24x2
(-36 + -12x + (24x + 8x2) + -1x2 * (3 + x))(9 + x) = 24x2
(-36 + -12x + 24x + 8x2 + (3 * -1x2 + x * -1x2))(9 + x) = 24x2
(-36 + -12x + 24x + 8x2 + (-3x2 + -1x3))(9 + x) = 24x2

Combine like terms: -12x + 24x = 12x
(-36 + 12x + 8x2 + -3x2 + -1x3)(9 + x) = 24x2

Combine like terms: 8x2 + -3x2 = 5x2
(-36 + 12x + 5x2 + -1x3)(9 + x) = 24x2

Multiply (-36 + 12x + 5x2 + -1x3) * (9 + x)
(-36(9 + x) + 12x * (9 + x) + 5x2 * (9 + x) + -1x3 * (9 + x)) = 24x2
((9 * -36 + x * -36) + 12x * (9 + x) + 5x2 * (9 + x) + -1x3 * (9 + x)) = 24x2
((-324 + -36x) + 12x * (9 + x) + 5x2 * (9 + x) + -1x3 * (9 + x)) = 24x2
(-324 + -36x + (9 * 12x + x * 12x) + 5x2 * (9 + x) + -1x3 * (9 + x)) = 24x2
(-324 + -36x + (108x + 12x2) + 5x2 * (9 + x) + -1x3 * (9 + x)) = 24x2
(-324 + -36x + 108x + 12x2 + (9 * 5x2 + x * 5x2) + -1x3 * (9 + x)) = 24x2
(-324 + -36x + 108x + 12x2 + (45x2 + 5x3) + -1x3 * (9 + x)) = 24x2
(-324 + -36x + 108x + 12x2 + 45x2 + 5x3 + (9 * -1x3 + x * -1x3)) = 24x2
(-324 + -36x + 108x + 12x2 + 45x2 + 5x3 + (-9x3 + -1x4)) = 24x2

Combine like terms: -36x + 108x = 72x
(-324 + 72x + 12x2 + 45x2 + 5x3 + -9x3 + -1x4) = 24x2

Combine like terms: 12x2 + 45x2 = 57x2
(-324 + 72x + 57x2 + 5x3 + -9x3 + -1x4) = 24x2

Combine like terms: 5x3 + -9x3 = -4x3
(-324 + 72x + 57x2 + -4x3 + -1x4) = 24x2

Solving
-324 + 72x + 57x2 + -4x3 + -1x4 = 24x2

Solving for variable 'x'.

Reorder the terms:
-324 + 72x + 57x2 + -24x2 + -4x3 + -1x4 = 24x2 + -24x2

Combine like terms: 57x2 + -24x2 = 33x2
-324 + 72x + 33x2 + -4x3 + -1x4 = 24x2 + -24x2

Combine like terms: 24x2 + -24x2 = 0
-324 + 72x + 33x2 + -4x3 + -1x4 = 0

The solution to this equation could not be determined.

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