(x^4-4)(2x+5)=2x^2-4(4x+24)+1

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Solution for (x^4-4)(2x+5)=2x^2-4(4x+24)+1 equation: 


Simplifying
(x4 + -4)(2x + 5) = 2x2 + -4(4x + 24) + 1

Reorder the terms:
(-4 + x4)(2x + 5) = 2x2 + -4(4x + 24) + 1

Reorder the terms:
(-4 + x4)(5 + 2x) = 2x2 + -4(4x + 24) + 1

Multiply (-4 + x4) * (5 + 2x)
(-4(5 + 2x) + x4(5 + 2x)) = 2x2 + -4(4x + 24) + 1
((5 * -4 + 2x * -4) + x4(5 + 2x)) = 2x2 + -4(4x + 24) + 1
((-20 + -8x) + x4(5 + 2x)) = 2x2 + -4(4x + 24) + 1
(-20 + -8x + (5 * x4 + 2x * x4)) = 2x2 + -4(4x + 24) + 1
(-20 + -8x + (5x4 + 2x5)) = 2x2 + -4(4x + 24) + 1
(-20 + -8x + 5x4 + 2x5) = 2x2 + -4(4x + 24) + 1

Reorder the terms:
-20 + -8x + 5x4 + 2x5 = 2x2 + -4(24 + 4x) + 1
-20 + -8x + 5x4 + 2x5 = 2x2 + (24 * -4 + 4x * -4) + 1
-20 + -8x + 5x4 + 2x5 = 2x2 + (-96 + -16x) + 1

Reorder the terms:
-20 + -8x + 5x4 + 2x5 = -96 + 1 + -16x + 2x2

Combine like terms: -96 + 1 = -95
-20 + -8x + 5x4 + 2x5 = -95 + -16x + 2x2

Solving
-20 + -8x + 5x4 + 2x5 = -95 + -16x + 2x2

Solving for variable 'x'.

Reorder the terms:
-20 + 95 + -8x + 16x + -2x2 + 5x4 + 2x5 = -95 + -16x + 2x2 + 95 + 16x + -2x2

Combine like terms: -20 + 95 = 75
75 + -8x + 16x + -2x2 + 5x4 + 2x5 = -95 + -16x + 2x2 + 95 + 16x + -2x2

Combine like terms: -8x + 16x = 8x
75 + 8x + -2x2 + 5x4 + 2x5 = -95 + -16x + 2x2 + 95 + 16x + -2x2

Reorder the terms:
75 + 8x + -2x2 + 5x4 + 2x5 = -95 + 95 + -16x + 16x + 2x2 + -2x2

Combine like terms: -95 + 95 = 0
75 + 8x + -2x2 + 5x4 + 2x5 = 0 + -16x + 16x + 2x2 + -2x2
75 + 8x + -2x2 + 5x4 + 2x5 = -16x + 16x + 2x2 + -2x2

Combine like terms: -16x + 16x = 0
75 + 8x + -2x2 + 5x4 + 2x5 = 0 + 2x2 + -2x2
75 + 8x + -2x2 + 5x4 + 2x5 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
75 + 8x + -2x2 + 5x4 + 2x5 = 0

The solution to this equation could not be determined.

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