5x^2-189=0

Solution for 5x^2-189=0 equation:

Simplifying
5x2 + -189 = 0

Reorder the terms:
-189 + 5x2 = 0

Solving
-189 + 5x2 = 0

Solving for variable 'x'.

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

Add '189' to each side of the equation.
-189 + 189 + 5x2 = 0 + 189

Combine like terms: -189 + 189 = 0
0 + 5x2 = 0 + 189
5x2 = 0 + 189

Combine like terms: 0 + 189 = 189
5x2 = 189

Divide each side by '5'.
x2 = 37.8

Simplifying
x2 = 37.8

Take the square root of each side:
x = {-6.14817046, 6.14817046}