16=4x^2-6

Solution for 16=4x^2-6 equation:

Simplifying
16 = 4x2 + -6

Reorder the terms:
16 = -6 + 4x2

Solving
16 = -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.
16 + -4x2 = -6 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
16 + -4x2 = -6 + 0
16 + -4x2 = -6

Add '-16' to each side of the equation.
16 + -16 + -4x2 = -6 + -16

Combine like terms: 16 + -16 = 0
0 + -4x2 = -6 + -16
-4x2 = -6 + -16

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

Divide each side by '-4'.
x2 = 5.5

Simplifying
x2 = 5.5

Take the square root of each side:
x = {-2.34520788, 2.34520788}