(x^2-4x)(x^2+4x)=x^2-4x+20

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Solution for (x^2-4x)(x^2+4x)=x^2-4x+20 equation:


Simplifying
(x2 + -4x)(x2 + 4x) = x2 + -4x + 20

Reorder the terms:
(-4x + x2)(x2 + 4x) = x2 + -4x + 20

Reorder the terms:
(-4x + x2)(4x + x2) = x2 + -4x + 20

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

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

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

Solving
-16x2 + x4 = 20 + -4x + x2

Solving for variable 'x'.

Reorder the terms:
-20 + 4x + -16x2 + -1x2 + x4 = 20 + -4x + x2 + -20 + 4x + -1x2

Combine like terms: -16x2 + -1x2 = -17x2
-20 + 4x + -17x2 + x4 = 20 + -4x + x2 + -20 + 4x + -1x2

Reorder the terms:
-20 + 4x + -17x2 + x4 = 20 + -20 + -4x + 4x + x2 + -1x2

Combine like terms: 20 + -20 = 0
-20 + 4x + -17x2 + x4 = 0 + -4x + 4x + x2 + -1x2
-20 + 4x + -17x2 + x4 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
-20 + 4x + -17x2 + x4 = 0 + x2 + -1x2
-20 + 4x + -17x2 + x4 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + 4x + -17x2 + x4 = 0

The solution to this equation could not be determined.

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