2(x^2-4)+3=15

Solution for 2(x^2-4)+3=15 equation:

Simplifying
2(x2 + -4) + 3 = 15

Reorder the terms:
2(-4 + x2) + 3 = 15
(-4 * 2 + x2 * 2) + 3 = 15
(-8 + 2x2) + 3 = 15

Reorder the terms:
-8 + 3 + 2x2 = 15

Combine like terms: -8 + 3 = -5
-5 + 2x2 = 15

Solving
-5 + 2x2 = 15

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 2x2 = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 2x2 = 15 + 5
2x2 = 15 + 5

Combine like terms: 15 + 5 = 20
2x2 = 20

Divide each side by '2'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}