4x^2-46-3=0

Solution for 4x^2-46-3=0 equation:

Simplifying
4x2 + -46 + -3 = 0

Reorder the terms:
-46 + -3 + 4x2 = 0

Combine like terms: -46 + -3 = -49
-49 + 4x2 = 0

Solving
-49 + 4x2 = 0

Solving for variable 'x'.

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

Add '49' to each side of the equation.
-49 + 49 + 4x2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 4x2 = 0 + 49
4x2 = 0 + 49

Combine like terms: 0 + 49 = 49
4x2 = 49

Divide each side by '4'.
x2 = 12.25

Simplifying
x2 = 12.25

Take the square root of each side:
x = {-3.5, 3.5}