(2x^2-12)(x^2+7x+12)=0

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Solution for (2x^2-12)(x^2+7x+12)=0 equation:


Simplifying
(2x2 + -12)(x2 + 7x + 12) = 0

Reorder the terms:
(-12 + 2x2)(x2 + 7x + 12) = 0

Reorder the terms:
(-12 + 2x2)(12 + 7x + x2) = 0

Multiply (-12 + 2x2) * (12 + 7x + x2)
(-12(12 + 7x + x2) + 2x2 * (12 + 7x + x2)) = 0
((12 * -12 + 7x * -12 + x2 * -12) + 2x2 * (12 + 7x + x2)) = 0
((-144 + -84x + -12x2) + 2x2 * (12 + 7x + x2)) = 0
(-144 + -84x + -12x2 + (12 * 2x2 + 7x * 2x2 + x2 * 2x2)) = 0
(-144 + -84x + -12x2 + (24x2 + 14x3 + 2x4)) = 0

Combine like terms: -12x2 + 24x2 = 12x2
(-144 + -84x + 12x2 + 14x3 + 2x4) = 0

Solving
-144 + -84x + 12x2 + 14x3 + 2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-72 + -42x + 6x2 + 7x3 + x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-72 + -42x + 6x2 + 7x3 + x4)' equal to zero and attempt to solve: Simplifying -72 + -42x + 6x2 + 7x3 + x4 = 0 Solving -72 + -42x + 6x2 + 7x3 + 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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