4x^2-6=74

Solution for 4x^2-6=74 equation:

Simplifying
4x2 + -6 = 74

Reorder the terms:
-6 + 4x2 = 74

Solving
-6 + 4x2 = 74

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 = 74 + 6

Combine like terms: -6 + 6 = 0
0 + 4x2 = 74 + 6
4x2 = 74 + 6

Combine like terms: 74 + 6 = 80
4x2 = 80

Divide each side by '4'.
x2 = 20

Simplifying
x2 = 20

Take the square root of each side:
x = {-4.472135955, 4.472135955}