22=4(x^2)+6

Solution for 22=4(x^2)+6 equation:

Simplifying
22 = 4(x2) + 6

Reorder the terms:
22 = 6 + 4x2

Solving
22 = 6 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
22 + -4x2 = 6 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
22 + -4x2 = 6 + 0
22 + -4x2 = 6

Add '-22' to each side of the equation.
22 + -22 + -4x2 = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -4x2 = 6 + -22
-4x2 = 6 + -22

Combine like terms: 6 + -22 = -16
-4x2 = -16

Divide each side by '-4'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}