x(0.05)=x(0.02)x+6

Solution for x(0.05)=x(0.02)x+6 equation:

Simplifying
x(0.05) = x(0.02) * x + 6

Reorder the terms for easier multiplication:
0.05x = x(0.02) * x + 6

Reorder the terms for easier multiplication:
0.05x = 0.02x * x + 6

Multiply x * x
0.05x = 0.02x2 + 6

Reorder the terms:
0.05x = 6 + 0.02x2

Solving
0.05x = 6 + 0.02x2

Solving for variable 'x'.

Reorder the terms:
-6 + 0.05x + -0.02x2 = 6 + 0.02x2 + -6 + -0.02x2

Reorder the terms:
-6 + 0.05x + -0.02x2 = 6 + -6 + 0.02x2 + -0.02x2

Combine like terms: 6 + -6 = 0
-6 + 0.05x + -0.02x2 = 0 + 0.02x2 + -0.02x2
-6 + 0.05x + -0.02x2 = 0.02x2 + -0.02x2

Combine like terms: 0.02x2 + -0.02x2 = 0.00
-6 + 0.05x + -0.02x2 = 0.00

Begin completing the square.  Divide all terms by
-0.02 the coefficient of the squared term: 

Divide each side by '-0.02'.
300 + -2.5x + x2 = 0

Move the constant term to the right:

Add '-300' to each side of the equation.
300 + -2.5x + -300 + x2 = 0 + -300

Reorder the terms:
300 + -300 + -2.5x + x2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -2.5x + x2 = 0 + -300
-2.5x + x2 = 0 + -300

Combine like terms: 0 + -300 = -300
-2.5x + x2 = -300

The x term is -2.5x.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5x + 1.5625 + x2 = -300 + 1.5625

Reorder the terms:
1.5625 + -2.5x + x2 = -300 + 1.5625

Combine like terms: -300 + 1.5625 = -298.4375
1.5625 + -2.5x + x2 = -298.4375

Factor a perfect square on the left side:
(x + -1.25)(x + -1.25) = -298.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.