4x^2-3=45

Solution for 4x^2-3=45 equation:

Simplifying
4x2 + -3 = 45

Reorder the terms:
-3 + 4x2 = 45

Solving
-3 + 4x2 = 45

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 4x2 = 45 + 3

Combine like terms: -3 + 3 = 0
0 + 4x2 = 45 + 3
4x2 = 45 + 3

Combine like terms: 45 + 3 = 48
4x2 = 48

Divide each side by '4'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}