4x^2+14-162=0

Solution for 4x^2+14-162=0 equation:

Simplifying
4x2 + 14 + -162 = 0

Reorder the terms:
14 + -162 + 4x2 = 0

Combine like terms: 14 + -162 = -148
-148 + 4x2 = 0

Solving
-148 + 4x2 = 0

Solving for variable 'x'.

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

Add '148' to each side of the equation.
-148 + 148 + 4x2 = 0 + 148

Combine like terms: -148 + 148 = 0
0 + 4x2 = 0 + 148
4x2 = 0 + 148

Combine like terms: 0 + 148 = 148
4x2 = 148

Divide each side by '4'.
x2 = 37

Simplifying
x2 = 37

Take the square root of each side:
x = {-6.08276253, 6.08276253}