x^3+5x^2-10x-6=x^4-x^3-5x^2+6x+10

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Solution for x^3+5x^2-10x-6=x^4-x^3-5x^2+6x+10 equation: 


Simplifying
x3 + 5x2 + -10x + -6 = x4 + -1x3 + -5x2 + 6x + 10

Reorder the terms:
-6 + -10x + 5x2 + x3 = x4 + -1x3 + -5x2 + 6x + 10

Reorder the terms:
-6 + -10x + 5x2 + x3 = 10 + 6x + -5x2 + -1x3 + x4

Solving
-6 + -10x + 5x2 + x3 = 10 + 6x + -5x2 + -1x3 + x4

Solving for variable 'x'.

Reorder the terms:
-6 + -10 + -10x + -6x + 5x2 + 5x2 + x3 + x3 + -1x4 = 10 + 6x + -5x2 + -1x3 + x4 + -10 + -6x + 5x2 + x3 + -1x4

Combine like terms: -6 + -10 = -16
-16 + -10x + -6x + 5x2 + 5x2 + x3 + x3 + -1x4 = 10 + 6x + -5x2 + -1x3 + x4 + -10 + -6x + 5x2 + x3 + -1x4

Combine like terms: -10x + -6x = -16x
-16 + -16x + 5x2 + 5x2 + x3 + x3 + -1x4 = 10 + 6x + -5x2 + -1x3 + x4 + -10 + -6x + 5x2 + x3 + -1x4

Combine like terms: 5x2 + 5x2 = 10x2
-16 + -16x + 10x2 + x3 + x3 + -1x4 = 10 + 6x + -5x2 + -1x3 + x4 + -10 + -6x + 5x2 + x3 + -1x4

Combine like terms: x3 + x3 = 2x3
-16 + -16x + 10x2 + 2x3 + -1x4 = 10 + 6x + -5x2 + -1x3 + x4 + -10 + -6x + 5x2 + x3 + -1x4

Reorder the terms:
-16 + -16x + 10x2 + 2x3 + -1x4 = 10 + -10 + 6x + -6x + -5x2 + 5x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: 10 + -10 = 0
-16 + -16x + 10x2 + 2x3 + -1x4 = 0 + 6x + -6x + -5x2 + 5x2 + -1x3 + x3 + x4 + -1x4
-16 + -16x + 10x2 + 2x3 + -1x4 = 6x + -6x + -5x2 + 5x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: 6x + -6x = 0
-16 + -16x + 10x2 + 2x3 + -1x4 = 0 + -5x2 + 5x2 + -1x3 + x3 + x4 + -1x4
-16 + -16x + 10x2 + 2x3 + -1x4 = -5x2 + 5x2 + -1x3 + x3 + x4 + -1x4

Combine like terms: -5x2 + 5x2 = 0
-16 + -16x + 10x2 + 2x3 + -1x4 = 0 + -1x3 + x3 + x4 + -1x4
-16 + -16x + 10x2 + 2x3 + -1x4 = -1x3 + x3 + x4 + -1x4

Combine like terms: -1x3 + x3 = 0
-16 + -16x + 10x2 + 2x3 + -1x4 = 0 + x4 + -1x4
-16 + -16x + 10x2 + 2x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
-16 + -16x + 10x2 + 2x3 + -1x4 = 0

The solution to this equation could not be determined.

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