2(x^2-9)-7=0

Solution for 2(x^2-9)-7=0 equation:

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

Reorder the terms:
2(-9 + x2) + -7 = 0
(-9 * 2 + x2 * 2) + -7 = 0
(-18 + 2x2) + -7 = 0

Reorder the terms:
-18 + -7 + 2x2 = 0

Combine like terms: -18 + -7 = -25
-25 + 2x2 = 0

Solving
-25 + 2x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 2x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2x2 = 0 + 25
2x2 = 0 + 25

Combine like terms: 0 + 25 = 25
2x2 = 25

Divide each side by '2'.
x2 = 12.5

Simplifying
x2 = 12.5

Take the square root of each side:
x = {-3.535533906, 3.535533906}