0.065(x-x^2)=(0.3-0.05x^2)

Solution for 0.065(x-x^2)=(0.3-0.05x^2) equation:

Simplifying
0.065(x + -1x2) = (0.3 + -0.05x2)
(x * 0.065 + -1x2 * 0.065) = (0.3 + -0.05x2)
(0.065x + -0.065x2) = (0.3 + -0.05x2)

Remove parenthesis around (0.3 + -0.05x2)
0.065x + -0.065x2 = 0.3 + -0.05x2

Solving
0.065x + -0.065x2 = 0.3 + -0.05x2

Solving for variable 'x'.

Reorder the terms:
-0.3 + 0.065x + -0.065x2 + 0.05x2 = 0.3 + -0.05x2 + -0.3 + 0.05x2

Combine like terms: -0.065x2 + 0.05x2 = -0.015x2
-0.3 + 0.065x + -0.015x2 = 0.3 + -0.05x2 + -0.3 + 0.05x2

Reorder the terms:
-0.3 + 0.065x + -0.015x2 = 0.3 + -0.3 + -0.05x2 + 0.05x2

Combine like terms: 0.3 + -0.3 = 0.0
-0.3 + 0.065x + -0.015x2 = 0.0 + -0.05x2 + 0.05x2
-0.3 + 0.065x + -0.015x2 = -0.05x2 + 0.05x2

Combine like terms: -0.05x2 + 0.05x2 = 0.00
-0.3 + 0.065x + -0.015x2 = 0.00

Begin completing the square.  Divide all terms by
-0.015 the coefficient of the squared term: 

Divide each side by '-0.015'.
20 + -4.333333333x + x2 = 0

Move the constant term to the right:

Add '-20' to each side of the equation.
20 + -4.333333333x + -20 + x2 = 0 + -20

Reorder the terms:
20 + -20 + -4.333333333x + x2 = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4.333333333x + x2 = 0 + -20
-4.333333333x + x2 = 0 + -20

Combine like terms: 0 + -20 = -20
-4.333333333x + x2 = -20

The x term is -4.333333333x.  Take half its coefficient (-2.166666667).
Square it (4.694444446) and add it to both sides.

Add '4.694444446' to each side of the equation.
-4.333333333x + 4.694444446 + x2 = -20 + 4.694444446

Reorder the terms:
4.694444446 + -4.333333333x + x2 = -20 + 4.694444446

Combine like terms: -20 + 4.694444446 = -15.305555554
4.694444446 + -4.333333333x + x2 = -15.305555554

Factor a perfect square on the left side:
(x + -2.166666667)(x + -2.166666667) = -15.305555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.