F(x)=1.5x^2

Solution for F(x)=1.5x^2 equation:

Simplifying
F(x) = 1.5x2

Multiply F * x
xF = 1.5x2

Solving
xF = 1.5x2

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(F + -1.5x) = 0.0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(F + -1.5x)' equal to zero and attempt to solve:

Simplifying
F + -1.5x = 0

Solving
F + -1.5x = 0

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

Add '-1F' to each side of the equation.
F + -1F + -1.5x = 0 + -1F

Combine like terms: F + -1F = 0
0 + -1.5x = 0 + -1F
-1.5x = 0 + -1F
Remove the zero:
-1.5x = -1F

Divide each side by '-1.5'.
x = 0.6666666667F

Simplifying
x = 0.6666666667F
Solution
x = {0, 0.6666666667F}