=(5x^2-4x+5)(4-x^2)

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


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

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

Multiply (5 + -4x + 5x2) * (4 + -1x2)
0 = (5(4 + -1x2) + -4x * (4 + -1x2) + 5x2 * (4 + -1x2))
0 = ((4 * 5 + -1x2 * 5) + -4x * (4 + -1x2) + 5x2 * (4 + -1x2))
0 = ((20 + -5x2) + -4x * (4 + -1x2) + 5x2 * (4 + -1x2))
0 = (20 + -5x2 + (4 * -4x + -1x2 * -4x) + 5x2 * (4 + -1x2))
0 = (20 + -5x2 + (-16x + 4x3) + 5x2 * (4 + -1x2))
0 = (20 + -5x2 + -16x + 4x3 + (4 * 5x2 + -1x2 * 5x2))
0 = (20 + -5x2 + -16x + 4x3 + (20x2 + -5x4))

Reorder the terms:
0 = (20 + -16x + -5x2 + 20x2 + 4x3 + -5x4)

Combine like terms: -5x2 + 20x2 = 15x2
0 = (20 + -16x + 15x2 + 4x3 + -5x4)

Solving
0 = 20 + -16x + 15x2 + 4x3 + -5x4

Solving for variable 'x'.

Combine like terms: 0 + -20 = -20
-20 + 16x + -15x2 + -4x3 + 5x4 = 20 + -16x + 15x2 + 4x3 + -5x4 + -20 + 16x + -15x2 + -4x3 + 5x4

Reorder the terms:
-20 + 16x + -15x2 + -4x3 + 5x4 = 20 + -20 + -16x + 16x + 15x2 + -15x2 + 4x3 + -4x3 + -5x4 + 5x4

Combine like terms: 20 + -20 = 0
-20 + 16x + -15x2 + -4x3 + 5x4 = 0 + -16x + 16x + 15x2 + -15x2 + 4x3 + -4x3 + -5x4 + 5x4
-20 + 16x + -15x2 + -4x3 + 5x4 = -16x + 16x + 15x2 + -15x2 + 4x3 + -4x3 + -5x4 + 5x4

Combine like terms: -16x + 16x = 0
-20 + 16x + -15x2 + -4x3 + 5x4 = 0 + 15x2 + -15x2 + 4x3 + -4x3 + -5x4 + 5x4
-20 + 16x + -15x2 + -4x3 + 5x4 = 15x2 + -15x2 + 4x3 + -4x3 + -5x4 + 5x4

Combine like terms: 15x2 + -15x2 = 0
-20 + 16x + -15x2 + -4x3 + 5x4 = 0 + 4x3 + -4x3 + -5x4 + 5x4
-20 + 16x + -15x2 + -4x3 + 5x4 = 4x3 + -4x3 + -5x4 + 5x4

Combine like terms: 4x3 + -4x3 = 0
-20 + 16x + -15x2 + -4x3 + 5x4 = 0 + -5x4 + 5x4
-20 + 16x + -15x2 + -4x3 + 5x4 = -5x4 + 5x4

Combine like terms: -5x4 + 5x4 = 0
-20 + 16x + -15x2 + -4x3 + 5x4 = 0

The solution to this equation could not be determined.

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