(6x^2+y^2-9)-(2x^2+y^2-2)=

Solution for (6x^2+y^2-9)-(2x^2+y^2-2)= equation:

Simplifying
(6x2 + y2 + -9) + -1(2x2 + y2 + -2) = 0

Reorder the terms:
(-9 + 6x2 + y2) + -1(2x2 + y2 + -2) = 0

Remove parenthesis around (-9 + 6x2 + y2)
-9 + 6x2 + y2 + -1(2x2 + y2 + -2) = 0

Reorder the terms:
-9 + 6x2 + y2 + -1(-2 + 2x2 + y2) = 0
-9 + 6x2 + y2 + (-2 * -1 + 2x2 * -1 + y2 * -1) = 0
-9 + 6x2 + y2 + (2 + -2x2 + -1y2) = 0

Reorder the terms:
-9 + 2 + 6x2 + -2x2 + y2 + -1y2 = 0

Combine like terms: -9 + 2 = -7
-7 + 6x2 + -2x2 + y2 + -1y2 = 0

Combine like terms: 6x2 + -2x2 = 4x2
-7 + 4x2 + y2 + -1y2 = 0

Combine like terms: y2 + -1y2 = 0
-7 + 4x2 + 0 = 0
-7 + 4x2 = 0

Solving
-7 + 4x2 = 0

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 4x2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 4x2 = 0 + 7
4x2 = 0 + 7

Combine like terms: 0 + 7 = 7
4x2 = 7

Divide each side by '4'.
x2 = 1.75

Simplifying
x2 = 1.75

Take the square root of each side:
x = {-1.322875656, 1.322875656}