0.2=1.5x^2-.2+0.1

Solution for 0.2=1.5x^2-.2+0.1 equation:

Simplifying
0.2 = 1.5x2 + -0.2 + 0.1

Reorder the terms:
0.2 = -0.2 + 0.1 + 1.5x2

Combine like terms: -0.2 + 0.1 = -0.1
0.2 = -0.1 + 1.5x2

Solving
0.2 = -0.1 + 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.
0.2 + -1.5x2 = -0.1 + 1.5x2 + -1.5x2

Combine like terms: 1.5x2 + -1.5x2 = 0.0
0.2 + -1.5x2 = -0.1 + 0.0
0.2 + -1.5x2 = -0.1

Add '-0.2' to each side of the equation.
0.2 + -0.2 + -1.5x2 = -0.1 + -0.2

Combine like terms: 0.2 + -0.2 = 0.0
0.0 + -1.5x2 = -0.1 + -0.2
-1.5x2 = -0.1 + -0.2

Combine like terms: -0.1 + -0.2 = -0.3
-1.5x2 = -0.3

Divide each side by '-1.5'.
x2 = 0.2

Simplifying
x2 = 0.2

Take the square root of each side:
x = {-0.447213596, 0.447213596}