J(x)=0.75x^2

Solution for J(x)=0.75x^2 equation:

Simplifying
J(x) = 0.75x2

Multiply J * x
xJ = 0.75x2

Solving
xJ = 0.75x2

Solving for variable 'x'.

Combine like terms: 0.75x2 + -0.75x2 = 0.00
xJ + -0.75x2 = 0.00

Factor out the Greatest Common Factor (GCF), 'x'.
x(J + -0.75x) = 0.00

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 '(J + -0.75x)' equal to zero and attempt to solve:

Simplifying
J + -0.75x = 0

Solving
J + -0.75x = 0

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

Add '-1J' to each side of the equation.
J + -1J + -0.75x = 0 + -1J

Combine like terms: J + -1J = 0
0 + -0.75x = 0 + -1J
-0.75x = 0 + -1J
Remove the zero:
-0.75x = -1J

Divide each side by '-0.75'.
x = 1.333333333J

Simplifying
x = 1.333333333J
Solution
x = {0, 1.333333333J}