4(x^2-1)+2=38

Solution for 4(x^2-1)+2=38 equation:

Simplifying
4(x2 + -1) + 2 = 38

Reorder the terms:
4(-1 + x2) + 2 = 38
(-1 * 4 + x2 * 4) + 2 = 38
(-4 + 4x2) + 2 = 38

Reorder the terms:
-4 + 2 + 4x2 = 38

Combine like terms: -4 + 2 = -2
-2 + 4x2 = 38

Solving
-2 + 4x2 = 38

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 4x2 = 38 + 2

Combine like terms: -2 + 2 = 0
0 + 4x2 = 38 + 2
4x2 = 38 + 2

Combine like terms: 38 + 2 = 40
4x2 = 40

Divide each side by '4'.
x2 = 10

Simplifying
x2 = 10

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