0.2(60)+0.05x(12+x)=0.1(60+x)

Solution for 0.2(60)+0.05x(12+x)=0.1(60+x) equation:

Simplifying
0.2(60) + 0.05x(12 + x) = 0.1(60 + x)

Multiply 0.2 * 60
12 + 0.05x(12 + x) = 0.1(60 + x)
12 + (12 * 0.05x + x * 0.05x) = 0.1(60 + x)
12 + (0.6x + 0.05x2) = 0.1(60 + x)
12 + 0.6x + 0.05x2 = (60 * 0.1 + x * 0.1)
12 + 0.6x + 0.05x2 = (6 + 0.1x)

Solving
12 + 0.6x + 0.05x2 = 6 + 0.1x

Solving for variable 'x'.

Reorder the terms:
12 + -6 + 0.6x + -0.1x + 0.05x2 = 6 + 0.1x + -6 + -0.1x

Combine like terms: 12 + -6 = 6
6 + 0.6x + -0.1x + 0.05x2 = 6 + 0.1x + -6 + -0.1x

Combine like terms: 0.6x + -0.1x = 0.5x
6 + 0.5x + 0.05x2 = 6 + 0.1x + -6 + -0.1x

Reorder the terms:
6 + 0.5x + 0.05x2 = 6 + -6 + 0.1x + -0.1x

Combine like terms: 6 + -6 = 0
6 + 0.5x + 0.05x2 = 0 + 0.1x + -0.1x
6 + 0.5x + 0.05x2 = 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
6 + 0.5x + 0.05x2 = 0.0

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

Divide each side by '0.05'.
120 + 10x + x2 = 0

Move the constant term to the right:

Add '-120' to each side of the equation.
120 + 10x + -120 + x2 = 0 + -120

Reorder the terms:
120 + -120 + 10x + x2 = 0 + -120

Combine like terms: 120 + -120 = 0
0 + 10x + x2 = 0 + -120
10x + x2 = 0 + -120

Combine like terms: 0 + -120 = -120
10x + x2 = -120

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -120 + 25

Reorder the terms:
25 + 10x + x2 = -120 + 25

Combine like terms: -120 + 25 = -95
25 + 10x + x2 = -95

Factor a perfect square on the left side:
(x + 5)(x + 5) = -95

Can't calculate square root of the right side.

The solution to this equation could not be determined.