4x^2-45=0

Solution for 4x^2-45=0 equation:

Simplifying
4x2 + -45 = 0

Reorder the terms:
-45 + 4x2 = 0

Solving
-45 + 4x2 = 0

Solving for variable 'x'.

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

Add '45' to each side of the equation.
-45 + 45 + 4x2 = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 4x2 = 0 + 45
4x2 = 0 + 45

Combine like terms: 0 + 45 = 45
4x2 = 45

Divide each side by '4'.
x2 = 11.25

Simplifying
x2 = 11.25

Take the square root of each side:
x = {-3.354101966, 3.354101966}