(x^2+x-2)(2x^2+2x-24)=288

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Solution for (x^2+x-2)(2x^2+2x-24)=288 equation: 


Simplifying
(x2 + x + -2)(2x2 + 2x + -24) = 288

Reorder the terms:
(-2 + x + x2)(2x2 + 2x + -24) = 288

Reorder the terms:
(-2 + x + x2)(-24 + 2x + 2x2) = 288

Multiply (-2 + x + x2) * (-24 + 2x + 2x2)
(-2(-24 + 2x + 2x2) + x(-24 + 2x + 2x2) + x2(-24 + 2x + 2x2)) = 288
((-24 * -2 + 2x * -2 + 2x2 * -2) + x(-24 + 2x + 2x2) + x2(-24 + 2x + 2x2)) = 288
((48 + -4x + -4x2) + x(-24 + 2x + 2x2) + x2(-24 + 2x + 2x2)) = 288
(48 + -4x + -4x2 + (-24 * x + 2x * x + 2x2 * x) + x2(-24 + 2x + 2x2)) = 288
(48 + -4x + -4x2 + (-24x + 2x2 + 2x3) + x2(-24 + 2x + 2x2)) = 288
(48 + -4x + -4x2 + -24x + 2x2 + 2x3 + (-24 * x2 + 2x * x2 + 2x2 * x2)) = 288
(48 + -4x + -4x2 + -24x + 2x2 + 2x3 + (-24x2 + 2x3 + 2x4)) = 288

Reorder the terms:
(48 + -4x + -24x + -4x2 + 2x2 + -24x2 + 2x3 + 2x3 + 2x4) = 288

Combine like terms: -4x + -24x = -28x
(48 + -28x + -4x2 + 2x2 + -24x2 + 2x3 + 2x3 + 2x4) = 288

Combine like terms: -4x2 + 2x2 = -2x2
(48 + -28x + -2x2 + -24x2 + 2x3 + 2x3 + 2x4) = 288

Combine like terms: -2x2 + -24x2 = -26x2
(48 + -28x + -26x2 + 2x3 + 2x3 + 2x4) = 288

Combine like terms: 2x3 + 2x3 = 4x3
(48 + -28x + -26x2 + 4x3 + 2x4) = 288

Solving
48 + -28x + -26x2 + 4x3 + 2x4 = 288

Solving for variable 'x'.

Reorder the terms:
48 + -288 + -28x + -26x2 + 4x3 + 2x4 = 288 + -288

Combine like terms: 48 + -288 = -240
-240 + -28x + -26x2 + 4x3 + 2x4 = 288 + -288

Combine like terms: 288 + -288 = 0
-240 + -28x + -26x2 + 4x3 + 2x4 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-120 + -14x + -13x2 + 2x3 + x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-120 + -14x + -13x2 + 2x3 + x4)' equal to zero and attempt to solve:

Simplifying
-120 + -14x + -13x2 + 2x3 + x4 = 0

Solving
-120 + -14x + -13x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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