5x^2-9-46=0

Solution for 5x^2-9-46=0 equation:

Simplifying
5x2 + -9 + -46 = 0

Reorder the terms:
-9 + -46 + 5x2 = 0

Combine like terms: -9 + -46 = -55
-55 + 5x2 = 0

Solving
-55 + 5x2 = 0

Solving for variable 'x'.

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

Add '55' to each side of the equation.
-55 + 55 + 5x2 = 0 + 55

Combine like terms: -55 + 55 = 0
0 + 5x2 = 0 + 55
5x2 = 0 + 55

Combine like terms: 0 + 55 = 55
5x2 = 55

Divide each side by '5'.
x2 = 11

Simplifying
x2 = 11

Take the square root of each side:
x = {-3.31662479, 3.31662479}