3y^3+y^2-2x^2=-20

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Solution for 3y^3+y^2-2x^2=-20 equation:


Simplifying
3y3 + y2 + -2x2 = -20

Reorder the terms:
-2x2 + y2 + 3y3 = -20

Solving
-2x2 + y2 + 3y3 = -20

Solving for variable 'x'.

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

Add '-1y2' to each side of the equation.
-2x2 + y2 + -1y2 + 3y3 = -20 + -1y2

Combine like terms: y2 + -1y2 = 0
-2x2 + 0 + 3y3 = -20 + -1y2
-2x2 + 3y3 = -20 + -1y2

Add '-3y3' to each side of the equation.
-2x2 + 3y3 + -3y3 = -20 + -1y2 + -3y3

Combine like terms: 3y3 + -3y3 = 0
-2x2 + 0 = -20 + -1y2 + -3y3
-2x2 = -20 + -1y2 + -3y3

Divide each side by '-2'.
x2 = 10 + 0.5y2 + 1.5y3

Simplifying
x2 = 10 + 0.5y2 + 1.5y3

Reorder the terms:
-10 + x2 + -0.5y2 + -1.5y3 = 10 + 0.5y2 + 1.5y3 + -10 + -0.5y2 + -1.5y3

Reorder the terms:
-10 + x2 + -0.5y2 + -1.5y3 = 10 + -10 + 0.5y2 + -0.5y2 + 1.5y3 + -1.5y3

Combine like terms: 10 + -10 = 0
-10 + x2 + -0.5y2 + -1.5y3 = 0 + 0.5y2 + -0.5y2 + 1.5y3 + -1.5y3
-10 + x2 + -0.5y2 + -1.5y3 = 0.5y2 + -0.5y2 + 1.5y3 + -1.5y3

Combine like terms: 0.5y2 + -0.5y2 = 0.0
-10 + x2 + -0.5y2 + -1.5y3 = 0.0 + 1.5y3 + -1.5y3
-10 + x2 + -0.5y2 + -1.5y3 = 1.5y3 + -1.5y3

Combine like terms: 1.5y3 + -1.5y3 = 0.0
-10 + x2 + -0.5y2 + -1.5y3 = 0.0

The solution to this equation could not be determined.

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