(x^2+x-6)(x^2+3x-54)+24x^2=0

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Solution for (x^2+x-6)(x^2+3x-54)+24x^2=0 equation: 


Simplifying
(x2 + x + -6)(x2 + 3x + -54) + 24x2 = 0

Reorder the terms:
(-6 + x + x2)(x2 + 3x + -54) + 24x2 = 0

Reorder the terms:
(-6 + x + x2)(-54 + 3x + x2) + 24x2 = 0

Multiply (-6 + x + x2) * (-54 + 3x + x2)
(-6(-54 + 3x + x2) + x(-54 + 3x + x2) + x2(-54 + 3x + x2)) + 24x2 = 0
((-54 * -6 + 3x * -6 + x2 * -6) + x(-54 + 3x + x2) + x2(-54 + 3x + x2)) + 24x2 = 0
((324 + -18x + -6x2) + x(-54 + 3x + x2) + x2(-54 + 3x + x2)) + 24x2 = 0
(324 + -18x + -6x2 + (-54 * x + 3x * x + x2 * x) + x2(-54 + 3x + x2)) + 24x2 = 0
(324 + -18x + -6x2 + (-54x + 3x2 + x3) + x2(-54 + 3x + x2)) + 24x2 = 0
(324 + -18x + -6x2 + -54x + 3x2 + x3 + (-54 * x2 + 3x * x2 + x2 * x2)) + 24x2 = 0
(324 + -18x + -6x2 + -54x + 3x2 + x3 + (-54x2 + 3x3 + x4)) + 24x2 = 0

Reorder the terms:
(324 + -18x + -54x + -6x2 + 3x2 + -54x2 + x3 + 3x3 + x4) + 24x2 = 0

Combine like terms: -18x + -54x = -72x
(324 + -72x + -6x2 + 3x2 + -54x2 + x3 + 3x3 + x4) + 24x2 = 0

Combine like terms: -6x2 + 3x2 = -3x2
(324 + -72x + -3x2 + -54x2 + x3 + 3x3 + x4) + 24x2 = 0

Combine like terms: -3x2 + -54x2 = -57x2
(324 + -72x + -57x2 + x3 + 3x3 + x4) + 24x2 = 0

Combine like terms: x3 + 3x3 = 4x3
(324 + -72x + -57x2 + 4x3 + x4) + 24x2 = 0

Reorder the terms:
324 + -72x + -57x2 + 24x2 + 4x3 + x4 = 0

Combine like terms: -57x2 + 24x2 = -33x2
324 + -72x + -33x2 + 4x3 + x4 = 0

Solving
324 + -72x + -33x2 + 4x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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