(-2x^2+6y-6)-(4x^2-y-6)=0

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Solution for (-2x^2+6y-6)-(4x^2-y-6)=0 equation:


Simplifying
(-2x2 + 6y + -6) + -1(4x2 + -1y + -6) = 0

Reorder the terms:
(-6 + -2x2 + 6y) + -1(4x2 + -1y + -6) = 0

Remove parenthesis around (-6 + -2x2 + 6y)
-6 + -2x2 + 6y + -1(4x2 + -1y + -6) = 0

Reorder the terms:
-6 + -2x2 + 6y + -1(-6 + 4x2 + -1y) = 0
-6 + -2x2 + 6y + (-6 * -1 + 4x2 * -1 + -1y * -1) = 0
-6 + -2x2 + 6y + (6 + -4x2 + 1y) = 0

Reorder the terms:
-6 + 6 + -2x2 + -4x2 + 6y + 1y = 0

Combine like terms: -6 + 6 = 0
0 + -2x2 + -4x2 + 6y + 1y = 0
-2x2 + -4x2 + 6y + 1y = 0

Combine like terms: -2x2 + -4x2 = -6x2
-6x2 + 6y + 1y = 0

Combine like terms: 6y + 1y = 7y
-6x2 + 7y = 0

Solving
-6x2 + 7y = 0

Solving for variable 'x'.

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

Add '-7y' to each side of the equation.
-6x2 + 7y + -7y = 0 + -7y

Combine like terms: 7y + -7y = 0
-6x2 + 0 = 0 + -7y
-6x2 = 0 + -7y
Remove the zero:
-6x2 = -7y

Divide each side by '-6'.
x2 = 1.166666667y

Simplifying
x2 = 1.166666667y

Combine like terms: 1.166666667y + -1.166666667y = 0.000000000
x2 + -1.166666667y = 0.000000000

The solution to this equation could not be determined.

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