-0.25x^2+1.5=-10.75

Solution for -0.25x^2+1.5=-10.75 equation:

Simplifying
-0.25x2 + 1.5 = -10.75

Reorder the terms:
1.5 + -0.25x2 = -10.75

Solving
1.5 + -0.25x2 = -10.75

Solving for variable 'x'.

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

Add '-1.5' to each side of the equation.
1.5 + -1.5 + -0.25x2 = -10.75 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.25x2 = -10.75 + -1.5
-0.25x2 = -10.75 + -1.5

Combine like terms: -10.75 + -1.5 = -12.25
-0.25x2 = -12.25

Divide each side by '-0.25'.
x2 = 49

Simplifying
x2 = 49

Take the square root of each side:
x = {-7, 7}