2(5a)4a+13-6a=

Solution for 2(5a)4a+13-6a= equation:

Simplifying
2(5a) * 4a + 13 + -6a = 0

Remove parenthesis around (5a)
2 * 5a * 4a + 13 + -6a = 0

Reorder the terms for easier multiplication:
2 * 5 * 4a * a + 13 + -6a = 0

Multiply 2 * 5
10 * 4a * a + 13 + -6a = 0

Multiply 10 * 4
40a * a + 13 + -6a = 0

Multiply a * a
40a2 + 13 + -6a = 0

Reorder the terms:
13 + -6a + 40a2 = 0

Solving
13 + -6a + 40a2 = 0

Solving for variable 'a'.

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

Divide each side by '40'.
0.325 + -0.15a + a2 = 0.0

Move the constant term to the right:

Add '-0.325' to each side of the equation.
0.325 + -0.15a + -0.325 + a2 = 0.0 + -0.325

Reorder the terms:
0.325 + -0.325 + -0.15a + a2 = 0.0 + -0.325

Combine like terms: 0.325 + -0.325 = 0.000
0.000 + -0.15a + a2 = 0.0 + -0.325
-0.15a + a2 = 0.0 + -0.325

Combine like terms: 0.0 + -0.325 = -0.325
-0.15a + a2 = -0.325

The a term is -0.15a.  Take half its coefficient (-0.075).
Square it (0.005625) and add it to both sides.

Add '0.005625' to each side of the equation.
-0.15a + 0.005625 + a2 = -0.325 + 0.005625

Reorder the terms:
0.005625 + -0.15a + a2 = -0.325 + 0.005625

Combine like terms: -0.325 + 0.005625 = -0.319375
0.005625 + -0.15a + a2 = -0.319375

Factor a perfect square on the left side:
(a + -0.075)(a + -0.075) = -0.319375

Can't calculate square root of the right side.

The solution to this equation could not be determined.