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

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

Simplifying
(9x2 + -7) + (-3x2 + 3) = 0

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

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

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

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

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

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

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

Solving
-4 + 6x2 = 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 + 6x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 6x2 = 0 + 4
6x2 = 0 + 4

Combine like terms: 0 + 4 = 4
6x2 = 4

Divide each side by '6'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}