x^2-4-(9-x^2)=1

Solution for x^2-4-(9-x^2)=1 equation:

Simplifying
x2 + -4 + -1(9 + -1x2) = 1
x2 + -4 + (9 * -1 + -1x2 * -1) = 1
x2 + -4 + (-9 + 1x2) = 1

Reorder the terms:
-4 + -9 + x2 + 1x2 = 1

Combine like terms: -4 + -9 = -13
-13 + x2 + 1x2 = 1

Combine like terms: x2 + 1x2 = 2x2
-13 + 2x2 = 1

Solving
-13 + 2x2 = 1

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 2x2 = 1 + 13

Combine like terms: -13 + 13 = 0
0 + 2x2 = 1 + 13
2x2 = 1 + 13

Combine like terms: 1 + 13 = 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}