(x^2+5x+2)(x^2+5x+2)-4(x^2+5x+2)-32=0

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Solution for (x^2+5x+2)(x^2+5x+2)-4(x^2+5x+2)-32=0 equation: 


Simplifying
(x2 + 5x + 2)(x2 + 5x + 2) + -4(x2 + 5x + 2) + -32 = 0

Reorder the terms:
(2 + 5x + x2)(x2 + 5x + 2) + -4(x2 + 5x + 2) + -32 = 0

Reorder the terms:
(2 + 5x + x2)(2 + 5x + x2) + -4(x2 + 5x + 2) + -32 = 0

Multiply (2 + 5x + x2) * (2 + 5x + x2)
(2(2 + 5x + x2) + 5x * (2 + 5x + x2) + x2(2 + 5x + x2)) + -4(x2 + 5x + 2) + -32 = 0
((2 * 2 + 5x * 2 + x2 * 2) + 5x * (2 + 5x + x2) + x2(2 + 5x + x2)) + -4(x2 + 5x + 2) + -32 = 0
((4 + 10x + 2x2) + 5x * (2 + 5x + x2) + x2(2 + 5x + x2)) + -4(x2 + 5x + 2) + -32 = 0
(4 + 10x + 2x2 + (2 * 5x + 5x * 5x + x2 * 5x) + x2(2 + 5x + x2)) + -4(x2 + 5x + 2) + -32 = 0
(4 + 10x + 2x2 + (10x + 25x2 + 5x3) + x2(2 + 5x + x2)) + -4(x2 + 5x + 2) + -32 = 0
(4 + 10x + 2x2 + 10x + 25x2 + 5x3 + (2 * x2 + 5x * x2 + x2 * x2)) + -4(x2 + 5x + 2) + -32 = 0
(4 + 10x + 2x2 + 10x + 25x2 + 5x3 + (2x2 + 5x3 + x4)) + -4(x2 + 5x + 2) + -32 = 0

Reorder the terms:
(4 + 10x + 10x + 2x2 + 25x2 + 2x2 + 5x3 + 5x3 + x4) + -4(x2 + 5x + 2) + -32 = 0

Combine like terms: 10x + 10x = 20x
(4 + 20x + 2x2 + 25x2 + 2x2 + 5x3 + 5x3 + x4) + -4(x2 + 5x + 2) + -32 = 0

Combine like terms: 2x2 + 25x2 = 27x2
(4 + 20x + 27x2 + 2x2 + 5x3 + 5x3 + x4) + -4(x2 + 5x + 2) + -32 = 0

Combine like terms: 27x2 + 2x2 = 29x2
(4 + 20x + 29x2 + 5x3 + 5x3 + x4) + -4(x2 + 5x + 2) + -32 = 0

Combine like terms: 5x3 + 5x3 = 10x3
(4 + 20x + 29x2 + 10x3 + x4) + -4(x2 + 5x + 2) + -32 = 0

Reorder the terms:
4 + 20x + 29x2 + 10x3 + x4 + -4(2 + 5x + x2) + -32 = 0
4 + 20x + 29x2 + 10x3 + x4 + (2 * -4 + 5x * -4 + x2 * -4) + -32 = 0
4 + 20x + 29x2 + 10x3 + x4 + (-8 + -20x + -4x2) + -32 = 0

Reorder the terms:
4 + -8 + -32 + 20x + -20x + 29x2 + -4x2 + 10x3 + x4 = 0

Combine like terms: 4 + -8 = -4
-4 + -32 + 20x + -20x + 29x2 + -4x2 + 10x3 + x4 = 0

Combine like terms: -4 + -32 = -36
-36 + 20x + -20x + 29x2 + -4x2 + 10x3 + x4 = 0

Combine like terms: 20x + -20x = 0
-36 + 0 + 29x2 + -4x2 + 10x3 + x4 = 0
-36 + 29x2 + -4x2 + 10x3 + x4 = 0

Combine like terms: 29x2 + -4x2 = 25x2
-36 + 25x2 + 10x3 + x4 = 0

Solving
-36 + 25x2 + 10x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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