(7x^2+9)-(8x^2+2)=

Solution for (7x^2+9)-(8x^2+2)= equation:

Simplifying
(7x2 + 9) + -1(8x2 + 2) = 0

Reorder the terms:
(9 + 7x2) + -1(8x2 + 2) = 0

Remove parenthesis around (9 + 7x2)
9 + 7x2 + -1(8x2 + 2) = 0

Reorder the terms:
9 + 7x2 + -1(2 + 8x2) = 0
9 + 7x2 + (2 * -1 + 8x2 * -1) = 0
9 + 7x2 + (-2 + -8x2) = 0

Reorder the terms:
9 + -2 + 7x2 + -8x2 = 0

Combine like terms: 9 + -2 = 7
7 + 7x2 + -8x2 = 0

Combine like terms: 7x2 + -8x2 = -1x2
7 + -1x2 = 0

Solving
7 + -1x2 = 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 + -1x2 = 0 + -7

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

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

Divide each side by '-1'.
x2 = 7

Simplifying
x2 = 7

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