(4x^2-2)(4x-8)-(5x-2)(3x^2+8)=0

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Solution for (4x^2-2)(4x-8)-(5x-2)(3x^2+8)=0 equation: 


Simplifying
(4x2 + -2)(4x + -8) + -1(5x + -2)(3x2 + 8) = 0

Reorder the terms:
(-2 + 4x2)(4x + -8) + -1(5x + -2)(3x2 + 8) = 0

Reorder the terms:
(-2 + 4x2)(-8 + 4x) + -1(5x + -2)(3x2 + 8) = 0

Multiply (-2 + 4x2) * (-8 + 4x)
(-2(-8 + 4x) + 4x2 * (-8 + 4x)) + -1(5x + -2)(3x2 + 8) = 0
((-8 * -2 + 4x * -2) + 4x2 * (-8 + 4x)) + -1(5x + -2)(3x2 + 8) = 0
((16 + -8x) + 4x2 * (-8 + 4x)) + -1(5x + -2)(3x2 + 8) = 0
(16 + -8x + (-8 * 4x2 + 4x * 4x2)) + -1(5x + -2)(3x2 + 8) = 0
(16 + -8x + (-32x2 + 16x3)) + -1(5x + -2)(3x2 + 8) = 0
(16 + -8x + -32x2 + 16x3) + -1(5x + -2)(3x2 + 8) = 0

Reorder the terms:
16 + -8x + -32x2 + 16x3 + -1(-2 + 5x)(3x2 + 8) = 0

Reorder the terms:
16 + -8x + -32x2 + 16x3 + -1(-2 + 5x)(8 + 3x2) = 0

Multiply (-2 + 5x) * (8 + 3x2)
16 + -8x + -32x2 + 16x3 + -1(-2(8 + 3x2) + 5x * (8 + 3x2)) = 0
16 + -8x + -32x2 + 16x3 + -1((8 * -2 + 3x2 * -2) + 5x * (8 + 3x2)) = 0
16 + -8x + -32x2 + 16x3 + -1((-16 + -6x2) + 5x * (8 + 3x2)) = 0
16 + -8x + -32x2 + 16x3 + -1(-16 + -6x2 + (8 * 5x + 3x2 * 5x)) = 0
16 + -8x + -32x2 + 16x3 + -1(-16 + -6x2 + (40x + 15x3)) = 0

Reorder the terms:
16 + -8x + -32x2 + 16x3 + -1(-16 + 40x + -6x2 + 15x3) = 0
16 + -8x + -32x2 + 16x3 + -1(-16 + 40x + -6x2 + 15x3) = 0
16 + -8x + -32x2 + 16x3 + (-16 * -1 + 40x * -1 + -6x2 * -1 + 15x3 * -1) = 0
16 + -8x + -32x2 + 16x3 + (16 + -40x + 6x2 + -15x3) = 0

Reorder the terms:
16 + 16 + -8x + -40x + -32x2 + 6x2 + 16x3 + -15x3 = 0

Combine like terms: 16 + 16 = 32
32 + -8x + -40x + -32x2 + 6x2 + 16x3 + -15x3 = 0

Combine like terms: -8x + -40x = -48x
32 + -48x + -32x2 + 6x2 + 16x3 + -15x3 = 0

Combine like terms: -32x2 + 6x2 = -26x2
32 + -48x + -26x2 + 16x3 + -15x3 = 0

Combine like terms: 16x3 + -15x3 = 1x3
32 + -48x + -26x2 + 1x3 = 0

Solving
32 + -48x + -26x2 + 1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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