5.75=(1.5x^2)-6

Solution for 5.75=(1.5x^2)-6 equation:

Simplifying
5.75 = (1.5x2) + -6

Reorder the terms:
5.75 = -6 + (1.5x2)

Solving
5.75 = -6 + (1.5x2)

Solving for variable 'x'.

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

Add '(-1.5x2)' to each side of the equation.
5.75 + (-1.5x2) = -6 + (1.5x2) + (-1.5x2)

Combine like terms: (1.5x2) + (-1.5x2) = 0.0
5.75 + (-1.5x2) = -6 + 0.0
5.75 + (-1.5x2) = -6

Add '-5.75' to each side of the equation.
5.75 + -5.75 + (-1.5x2) = -6 + -5.75

Combine like terms: 5.75 + -5.75 = 0.00
0.00 + (-1.5x2) = -6 + -5.75
(-1.5x2) = -6 + -5.75

Combine like terms: -6 + -5.75 = -11.75
(-1.5x2) = -11.75

Divide each side by '-1.5'.
x2 = 7.833333333

Simplifying
x2 = 7.833333333

Take the square root of each side:
x = {-2.798809271, 2.798809271}