(x^2-3x+2)(x^2+3x-8)=24

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Solution for (x^2-3x+2)(x^2+3x-8)=24 equation: 


Simplifying
(x2 + -3x + 2)(x2 + 3x + -8) = 24

Reorder the terms:
(2 + -3x + x2)(x2 + 3x + -8) = 24

Reorder the terms:
(2 + -3x + x2)(-8 + 3x + x2) = 24

Multiply (2 + -3x + x2) * (-8 + 3x + x2)
(2(-8 + 3x + x2) + -3x * (-8 + 3x + x2) + x2(-8 + 3x + x2)) = 24
((-8 * 2 + 3x * 2 + x2 * 2) + -3x * (-8 + 3x + x2) + x2(-8 + 3x + x2)) = 24
((-16 + 6x + 2x2) + -3x * (-8 + 3x + x2) + x2(-8 + 3x + x2)) = 24
(-16 + 6x + 2x2 + (-8 * -3x + 3x * -3x + x2 * -3x) + x2(-8 + 3x + x2)) = 24
(-16 + 6x + 2x2 + (24x + -9x2 + -3x3) + x2(-8 + 3x + x2)) = 24
(-16 + 6x + 2x2 + 24x + -9x2 + -3x3 + (-8 * x2 + 3x * x2 + x2 * x2)) = 24
(-16 + 6x + 2x2 + 24x + -9x2 + -3x3 + (-8x2 + 3x3 + x4)) = 24

Reorder the terms:
(-16 + 6x + 24x + 2x2 + -9x2 + -8x2 + -3x3 + 3x3 + x4) = 24

Combine like terms: 6x + 24x = 30x
(-16 + 30x + 2x2 + -9x2 + -8x2 + -3x3 + 3x3 + x4) = 24

Combine like terms: 2x2 + -9x2 = -7x2
(-16 + 30x + -7x2 + -8x2 + -3x3 + 3x3 + x4) = 24

Combine like terms: -7x2 + -8x2 = -15x2
(-16 + 30x + -15x2 + -3x3 + 3x3 + x4) = 24

Combine like terms: -3x3 + 3x3 = 0
(-16 + 30x + -15x2 + 0 + x4) = 24
(-16 + 30x + -15x2 + x4) = 24

Solving
-16 + 30x + -15x2 + x4 = 24

Solving for variable 'x'.

Reorder the terms:
-16 + -24 + 30x + -15x2 + x4 = 24 + -24

Combine like terms: -16 + -24 = -40
-40 + 30x + -15x2 + x4 = 24 + -24

Combine like terms: 24 + -24 = 0
-40 + 30x + -15x2 + x4 = 0

The solution to this equation could not be determined.

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