1.5x^2+0.5=1000

Solution for 1.5x^2+0.5=1000 equation:

Simplifying
1.5x2 + 0.5 = 1000

Reorder the terms:
0.5 + 1.5x2 = 1000

Solving
0.5 + 1.5x2 = 1000

Solving for variable 'x'.

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

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1.5x2 = 1000 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.5x2 = 1000 + -0.5
1.5x2 = 1000 + -0.5

Combine like terms: 1000 + -0.5 = 999.5
1.5x2 = 999.5

Divide each side by '1.5'.
x2 = 666.3333333

Simplifying
x2 = 666.3333333

Take the square root of each side:
x = {-25.813433195, 25.813433195}