48x^2+14-45=0

Solution for 48x^2+14-45=0 equation:

Simplifying
48x2 + 14 + -45 = 0

Reorder the terms:
14 + -45 + 48x2 = 0

Combine like terms: 14 + -45 = -31
-31 + 48x2 = 0

Solving
-31 + 48x2 = 0

Solving for variable 'x'.

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

Add '31' to each side of the equation.
-31 + 31 + 48x2 = 0 + 31

Combine like terms: -31 + 31 = 0
0 + 48x2 = 0 + 31
48x2 = 0 + 31

Combine like terms: 0 + 31 = 31
48x2 = 31

Divide each side by '48'.
x2 = 0.6458333333

Simplifying
x2 = 0.6458333333

Take the square root of each side:
x = {-0.803637563, 0.803637563}