(9x^2+3y^2-7)-(6x^2+3y^2-3)=

Solution for (9x^2+3y^2-7)-(6x^2+3y^2-3)= equation:

Simplifying
(9x2 + 3y2 + -7) + -1(6x2 + 3y2 + -3) = 0

Reorder the terms:
(-7 + 9x2 + 3y2) + -1(6x2 + 3y2 + -3) = 0

Remove parenthesis around (-7 + 9x2 + 3y2)
-7 + 9x2 + 3y2 + -1(6x2 + 3y2 + -3) = 0

Reorder the terms:
-7 + 9x2 + 3y2 + -1(-3 + 6x2 + 3y2) = 0
-7 + 9x2 + 3y2 + (-3 * -1 + 6x2 * -1 + 3y2 * -1) = 0
-7 + 9x2 + 3y2 + (3 + -6x2 + -3y2) = 0

Reorder the terms:
-7 + 3 + 9x2 + -6x2 + 3y2 + -3y2 = 0

Combine like terms: -7 + 3 = -4
-4 + 9x2 + -6x2 + 3y2 + -3y2 = 0

Combine like terms: 9x2 + -6x2 = 3x2
-4 + 3x2 + 3y2 + -3y2 = 0

Combine like terms: 3y2 + -3y2 = 0
-4 + 3x2 + 0 = 0
-4 + 3x2 = 0

Solving
-4 + 3x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 3x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 3x2 = 0 + 4
3x2 = 0 + 4

Combine like terms: 0 + 4 = 4
3x2 = 4

Divide each side by '3'.
x2 = 1.333333333

Simplifying
x2 = 1.333333333

Take the square root of each side:
x = {-1.154700538, 1.154700538}