5a(8a-a)=4a-10

Solution for 5a(8a-a)=4a-10 equation:

Simplifying
5a(8a + -1a) = 4a + -10

Combine like terms: 8a + -1a = 7a
5a(7a) = 4a + -10

Remove parenthesis around (7a)
5a * 7a = 4a + -10

Reorder the terms for easier multiplication:
5 * 7a * a = 4a + -10

Multiply 5 * 7
35a * a = 4a + -10

Multiply a * a
35a2 = 4a + -10

Reorder the terms:
35a2 = -10 + 4a

Solving
35a2 = -10 + 4a

Solving for variable 'a'.

Reorder the terms:
10 + -4a + 35a2 = -10 + 4a + 10 + -4a

Reorder the terms:
10 + -4a + 35a2 = -10 + 10 + 4a + -4a

Combine like terms: -10 + 10 = 0
10 + -4a + 35a2 = 0 + 4a + -4a
10 + -4a + 35a2 = 4a + -4a

Combine like terms: 4a + -4a = 0
10 + -4a + 35a2 = 0

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

Divide each side by '35'.
0.2857142857 + -0.1142857143a + a2 = 0

Move the constant term to the right:

Add '-0.2857142857' to each side of the equation.
0.2857142857 + -0.1142857143a + -0.2857142857 + a2 = 0 + -0.2857142857

Reorder the terms:
0.2857142857 + -0.2857142857 + -0.1142857143a + a2 = 0 + -0.2857142857

Combine like terms: 0.2857142857 + -0.2857142857 = 0.0000000000
0.0000000000 + -0.1142857143a + a2 = 0 + -0.2857142857
-0.1142857143a + a2 = 0 + -0.2857142857

Combine like terms: 0 + -0.2857142857 = -0.2857142857
-0.1142857143a + a2 = -0.2857142857

The a term is -0.1142857143a.  Take half its coefficient (-0.05714285715).
Square it (0.003265306123) and add it to both sides.

Add '0.003265306123' to each side of the equation.
-0.1142857143a + 0.003265306123 + a2 = -0.2857142857 + 0.003265306123

Reorder the terms:
0.003265306123 + -0.1142857143a + a2 = -0.2857142857 + 0.003265306123

Combine like terms: -0.2857142857 + 0.003265306123 = -0.282448979577
0.003265306123 + -0.1142857143a + a2 = -0.282448979577

Factor a perfect square on the left side:
(a + -0.05714285715)(a + -0.05714285715) = -0.282448979577

Can't calculate square root of the right side.

The solution to this equation could not be determined.