y^3+5y^2-34x-80=x

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Solution for y^3+5y^2-34x-80=x equation:


Simplifying
y3 + 5y2 + -34x + -80 = x

Reorder the terms:
-80 + -34x + 5y2 + y3 = x

Solving
-80 + -34x + 5y2 + y3 = x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-80 + -34x + 5y2 + -1x + y3 = x + -1x

Reorder the terms:
-80 + -34x + -1x + 5y2 + y3 = x + -1x

Combine like terms: -34x + -1x = -35x
-80 + -35x + 5y2 + y3 = x + -1x

Combine like terms: x + -1x = 0
-80 + -35x + 5y2 + y3 = 0

Add '80' to each side of the equation.
-80 + -35x + 5y2 + 80 + y3 = 0 + 80

Reorder the terms:
-80 + 80 + -35x + 5y2 + y3 = 0 + 80

Combine like terms: -80 + 80 = 0
0 + -35x + 5y2 + y3 = 0 + 80
-35x + 5y2 + y3 = 0 + 80

Combine like terms: 0 + 80 = 80
-35x + 5y2 + y3 = 80

Add '-5y2' to each side of the equation.
-35x + 5y2 + -5y2 + y3 = 80 + -5y2

Combine like terms: 5y2 + -5y2 = 0
-35x + 0 + y3 = 80 + -5y2
-35x + y3 = 80 + -5y2

Add '-1y3' to each side of the equation.
-35x + y3 + -1y3 = 80 + -5y2 + -1y3

Combine like terms: y3 + -1y3 = 0
-35x + 0 = 80 + -5y2 + -1y3
-35x = 80 + -5y2 + -1y3

Divide each side by '-35'.
x = -2.285714286 + 0.1428571429y2 + 0.02857142857y3

Simplifying
x = -2.285714286 + 0.1428571429y2 + 0.02857142857y3

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