(-2x^2+10x-8)(x^2-4)=0

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Solution for (-2x^2+10x-8)(x^2-4)=0 equation:


Simplifying
(-2x2 + 10x + -8)(x2 + -4) = 0

Reorder the terms:
(-8 + 10x + -2x2)(x2 + -4) = 0

Reorder the terms:
(-8 + 10x + -2x2)(-4 + x2) = 0

Multiply (-8 + 10x + -2x2) * (-4 + x2)
(-8(-4 + x2) + 10x * (-4 + x2) + -2x2 * (-4 + x2)) = 0
((-4 * -8 + x2 * -8) + 10x * (-4 + x2) + -2x2 * (-4 + x2)) = 0
((32 + -8x2) + 10x * (-4 + x2) + -2x2 * (-4 + x2)) = 0
(32 + -8x2 + (-4 * 10x + x2 * 10x) + -2x2 * (-4 + x2)) = 0
(32 + -8x2 + (-40x + 10x3) + -2x2 * (-4 + x2)) = 0
(32 + -8x2 + -40x + 10x3 + (-4 * -2x2 + x2 * -2x2)) = 0
(32 + -8x2 + -40x + 10x3 + (8x2 + -2x4)) = 0

Reorder the terms:
(32 + -40x + -8x2 + 8x2 + 10x3 + -2x4) = 0

Combine like terms: -8x2 + 8x2 = 0
(32 + -40x + 0 + 10x3 + -2x4) = 0
(32 + -40x + 10x3 + -2x4) = 0

Solving
32 + -40x + 10x3 + -2x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -20x + 5x3 + -1x4) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(16 + -20x + 5x3 + -1x4)' equal to zero and attempt to solve: Simplifying 16 + -20x + 5x3 + -1x4 = 0 Solving 16 + -20x + 5x3 + -1x4 = 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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