(x*x+x)(x*x+x-5)=84

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Solution for (x*x+x)(x*x+x-5)=84 equation: 


Simplifying
(x * x + x)(x * x + x + -5) = 84

Multiply x * x
(x2 + x)(x * x + x + -5) = 84

Reorder the terms:
(x + x2)(x * x + x + -5) = 84

Multiply x * x
(x + x2)(x2 + x + -5) = 84

Reorder the terms:
(x + x2)(-5 + x + x2) = 84

Multiply (x + x2) * (-5 + x + x2)
(x(-5 + x + x2) + x2(-5 + x + x2)) = 84
((-5 * x + x * x + x2 * x) + x2(-5 + x + x2)) = 84
((-5x + x2 + x3) + x2(-5 + x + x2)) = 84
(-5x + x2 + x3 + (-5 * x2 + x * x2 + x2 * x2)) = 84
(-5x + x2 + x3 + (-5x2 + x3 + x4)) = 84

Reorder the terms:
(-5x + x2 + -5x2 + x3 + x3 + x4) = 84

Combine like terms: x2 + -5x2 = -4x2
(-5x + -4x2 + x3 + x3 + x4) = 84

Combine like terms: x3 + x3 = 2x3
(-5x + -4x2 + 2x3 + x4) = 84

Solving
-5x + -4x2 + 2x3 + x4 = 84

Solving for variable 'x'.

Reorder the terms:
-84 + -5x + -4x2 + 2x3 + x4 = 84 + -84

Combine like terms: 84 + -84 = 0
-84 + -5x + -4x2 + 2x3 + x4 = 0

The solution to this equation could not be determined.

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