-y+x^2-6=3x^2

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Solution for -y+x^2-6=3x^2 equation:


Simplifying
-1y + x2 + -6 = 3x2

Reorder the terms:
-6 + x2 + -1y = 3x2

Solving
-6 + x2 + -1y = 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
-6 + x2 + -3x2 + -1y = 3x2 + -3x2

Combine like terms: x2 + -3x2 = -2x2
-6 + -2x2 + -1y = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-6 + -2x2 + -1y = 0

Add '6' to each side of the equation.
-6 + -2x2 + 6 + -1y = 0 + 6

Reorder the terms:
-6 + 6 + -2x2 + -1y = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -2x2 + -1y = 0 + 6
-2x2 + -1y = 0 + 6

Combine like terms: 0 + 6 = 6
-2x2 + -1y = 6

Add 'y' to each side of the equation.
-2x2 + -1y + y = 6 + y

Combine like terms: -1y + y = 0
-2x2 + 0 = 6 + y
-2x2 = 6 + y

Divide each side by '-2'.
x2 = -3 + -0.5y

Simplifying
x2 = -3 + -0.5y

Reorder the terms:
3 + x2 + 0.5y = -3 + -0.5y + 3 + 0.5y

Reorder the terms:
3 + x2 + 0.5y = -3 + 3 + -0.5y + 0.5y

Combine like terms: -3 + 3 = 0
3 + x2 + 0.5y = 0 + -0.5y + 0.5y
3 + x2 + 0.5y = -0.5y + 0.5y

Combine like terms: -0.5y + 0.5y = 0.0
3 + x2 + 0.5y = 0.0

The solution to this equation could not be determined.

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