1.25x^2-5=0

Solution for 1.25x^2-5=0 equation:

Simplifying
1.25x2 + -5 = 0

Reorder the terms:
-5 + 1.25x2 = 0

Solving
-5 + 1.25x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 1.25x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 1.25x2 = 0 + 5
1.25x2 = 0 + 5

Combine like terms: 0 + 5 = 5
1.25x2 = 5

Divide each side by '1.25'.
x2 = 4

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}