4x^2+74-120=0

Solution for 4x^2+74-120=0 equation:

Simplifying
4x2 + 74 + -120 = 0

Reorder the terms:
74 + -120 + 4x2 = 0

Combine like terms: 74 + -120 = -46
-46 + 4x2 = 0

Solving
-46 + 4x2 = 0

Solving for variable 'x'.

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

Add '46' to each side of the equation.
-46 + 46 + 4x2 = 0 + 46

Combine like terms: -46 + 46 = 0
0 + 4x2 = 0 + 46
4x2 = 0 + 46

Combine like terms: 0 + 46 = 46
4x2 = 46

Divide each side by '4'.
x2 = 11.5

Simplifying
x2 = 11.5

Take the square root of each side:
x = {-3.391164992, 3.391164992}