y^2=x^5-6x^4+3x^3+26x^2-24x

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Solution for y^2=x^5-6x^4+3x^3+26x^2-24x equation:


Simplifying
y2 = x5 + -6x4 + 3x3 + 26x2 + -24x

Reorder the terms:
y2 = -24x + 26x2 + 3x3 + -6x4 + x5

Solving
y2 = -24x + 26x2 + 3x3 + -6x4 + x5

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Simplifying
y2 = -24x + 26x2 + 3x3 + -6x4 + x5

Reorder the terms:
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = -24x + 26x2 + 3x3 + -6x4 + x5 + 24x + -26x2 + -3x3 + 6x4 + -1x5

Reorder the terms:
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = -24x + 24x + 26x2 + -26x2 + 3x3 + -3x3 + -6x4 + 6x4 + x5 + -1x5

Combine like terms: -24x + 24x = 0
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = 0 + 26x2 + -26x2 + 3x3 + -3x3 + -6x4 + 6x4 + x5 + -1x5
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = 26x2 + -26x2 + 3x3 + -3x3 + -6x4 + 6x4 + x5 + -1x5

Combine like terms: 26x2 + -26x2 = 0
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = 0 + 3x3 + -3x3 + -6x4 + 6x4 + x5 + -1x5
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = 3x3 + -3x3 + -6x4 + 6x4 + x5 + -1x5

Combine like terms: 3x3 + -3x3 = 0
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = 0 + -6x4 + 6x4 + x5 + -1x5
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = -6x4 + 6x4 + x5 + -1x5

Combine like terms: -6x4 + 6x4 = 0
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = 0 + x5 + -1x5
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
24x + -26x2 + -3x3 + 6x4 + -1x5 + y2 = 0

The solution to this equation could not be determined.

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