(-0.125x^2+2)-(0.1875x^2-3)=2.5

Solution for (-0.125x^2+2)-(0.1875x^2-3)=2.5 equation:

Simplifying
(-0.125x2 + 2) + -1(0.1875x2 + -3) = 2.5

Reorder the terms:
(2 + -0.125x2) + -1(0.1875x2 + -3) = 2.5

Remove parenthesis around (2 + -0.125x2)
2 + -0.125x2 + -1(0.1875x2 + -3) = 2.5

Reorder the terms:
2 + -0.125x2 + -1(-3 + 0.1875x2) = 2.5
2 + -0.125x2 + (-3 * -1 + 0.1875x2 * -1) = 2.5
2 + -0.125x2 + (3 + -0.1875x2) = 2.5

Reorder the terms:
2 + 3 + -0.125x2 + -0.1875x2 = 2.5

Combine like terms: 2 + 3 = 5
5 + -0.125x2 + -0.1875x2 = 2.5

Combine like terms: -0.125x2 + -0.1875x2 = -0.3125x2
5 + -0.3125x2 = 2.5

Solving
5 + -0.3125x2 = 2.5

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 + -0.3125x2 = 2.5 + -5

Combine like terms: 5 + -5 = 0
0 + -0.3125x2 = 2.5 + -5
-0.3125x2 = 2.5 + -5

Combine like terms: 2.5 + -5 = -2.5
-0.3125x2 = -2.5

Divide each side by '-0.3125'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}