0=100-1.5x^2

Solution for 0=100-1.5x^2 equation:

Simplifying
0 = 100 + -1.5x2

Solving
0 = 100 + -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.
0 + 1.5x2 = 100 + -1.5x2 + 1.5x2
Remove the zero:
1.5x2 = 100 + -1.5x2 + 1.5x2

Combine like terms: -1.5x2 + 1.5x2 = 0.0
1.5x2 = 100 + 0.0
1.5x2 = 100

Divide each side by '1.5'.
x2 = 66.66666667

Simplifying
x2 = 66.66666667

Take the square root of each side:
x = {-8.164965809, 8.164965809}