4x^2+6=62

Solution for 4x^2+6=62 equation:

Simplifying
4x2 + 6 = 62

Reorder the terms:
6 + 4x2 = 62

Solving
6 + 4x2 = 62

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 4x2 = 62 + -6

Combine like terms: 6 + -6 = 0
0 + 4x2 = 62 + -6
4x2 = 62 + -6

Combine like terms: 62 + -6 = 56
4x2 = 56

Divide each side by '4'.
x2 = 14

Simplifying
x2 = 14

Take the square root of each side:
x = {-3.741657387, 3.741657387}