(7x^2+12)-(9x^2-2)=

Solution for (7x^2+12)-(9x^2-2)= equation:

Simplifying
(7x2 + 12) + -1(9x2 + -2) = 0

Reorder the terms:
(12 + 7x2) + -1(9x2 + -2) = 0

Remove parenthesis around (12 + 7x2)
12 + 7x2 + -1(9x2 + -2) = 0

Reorder the terms:
12 + 7x2 + -1(-2 + 9x2) = 0
12 + 7x2 + (-2 * -1 + 9x2 * -1) = 0
12 + 7x2 + (2 + -9x2) = 0

Reorder the terms:
12 + 2 + 7x2 + -9x2 = 0

Combine like terms: 12 + 2 = 14
14 + 7x2 + -9x2 = 0

Combine like terms: 7x2 + -9x2 = -2x2
14 + -2x2 = 0

Solving
14 + -2x2 = 0

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + -2x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -2x2 = 0 + -14
-2x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-2x2 = -14

Divide each side by '-2'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}