(2x^2-2x-12)*(x^2-10x+24)=0

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Solution for (2x^2-2x-12)*(x^2-10x+24)=0 equation: 


Simplifying
(2x2 + -2x + -12)(x2 + -10x + 24) = 0

Reorder the terms:
(-12 + -2x + 2x2)(x2 + -10x + 24) = 0

Reorder the terms:
(-12 + -2x + 2x2)(24 + -10x + x2) = 0

Multiply (-12 + -2x + 2x2) * (24 + -10x + x2)
(-12(24 + -10x + x2) + -2x * (24 + -10x + x2) + 2x2 * (24 + -10x + x2)) = 0
((24 * -12 + -10x * -12 + x2 * -12) + -2x * (24 + -10x + x2) + 2x2 * (24 + -10x + x2)) = 0
((-288 + 120x + -12x2) + -2x * (24 + -10x + x2) + 2x2 * (24 + -10x + x2)) = 0
(-288 + 120x + -12x2 + (24 * -2x + -10x * -2x + x2 * -2x) + 2x2 * (24 + -10x + x2)) = 0
(-288 + 120x + -12x2 + (-48x + 20x2 + -2x3) + 2x2 * (24 + -10x + x2)) = 0
(-288 + 120x + -12x2 + -48x + 20x2 + -2x3 + (24 * 2x2 + -10x * 2x2 + x2 * 2x2)) = 0
(-288 + 120x + -12x2 + -48x + 20x2 + -2x3 + (48x2 + -20x3 + 2x4)) = 0

Reorder the terms:
(-288 + 120x + -48x + -12x2 + 20x2 + 48x2 + -2x3 + -20x3 + 2x4) = 0

Combine like terms: 120x + -48x = 72x
(-288 + 72x + -12x2 + 20x2 + 48x2 + -2x3 + -20x3 + 2x4) = 0

Combine like terms: -12x2 + 20x2 = 8x2
(-288 + 72x + 8x2 + 48x2 + -2x3 + -20x3 + 2x4) = 0

Combine like terms: 8x2 + 48x2 = 56x2
(-288 + 72x + 56x2 + -2x3 + -20x3 + 2x4) = 0

Combine like terms: -2x3 + -20x3 = -22x3
(-288 + 72x + 56x2 + -22x3 + 2x4) = 0

Solving
-288 + 72x + 56x2 + -22x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-144 + 36x + 28x2 + -11x3 + x4) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-144 + 36x + 28x2 + -11x3 + x4)' equal to zero and attempt to solve:

Simplifying
-144 + 36x + 28x2 + -11x3 + x4 = 0

Solving
-144 + 36x + 28x2 + -11x3 + 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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