2x^2*y^3-3x^2+1=1

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Solution for 2x^2*y^3-3x^2+1=1 equation: 


Simplifying
2x2 * y3 + -3x2 + 1 = 1

Multiply x2 * y3
2x2y3 + -3x2 + 1 = 1

Reorder the terms:
1 + -3x2 + 2x2y3 = 1

Add '-1' to each side of the equation.
1 + -3x2 + -1 + 2x2y3 = 1 + -1

Reorder the terms:
1 + -1 + -3x2 + 2x2y3 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + -3x2 + 2x2y3 = 1 + -1
-3x2 + 2x2y3 = 1 + -1

Combine like terms: 1 + -1 = 0
-3x2 + 2x2y3 = 0

Solving
-3x2 + 2x2y3 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(-3 + 2y3) = 0


Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-3 + 2y3)' equal to zero and attempt to solve:

Simplifying
-3 + 2y3 = 0

Solving
-3 + 2y3 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 2y3 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2y3 = 0 + 3
2y3 = 0 + 3

Combine like terms: 0 + 3 = 3
2y3 = 3

Add '-2y3' to each side of the equation.
2y3 + -2y3 = 3 + -2y3

Combine like terms: 2y3 + -2y3 = 0
0 = 3 + -2y3

Simplifying
0 = 3 + -2y3

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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