4a(3-a)=17

Solution for 4a(3-a)=17 equation:

Simplifying
4a(3 + -1a) = 17
(3 * 4a + -1a * 4a) = 17
(12a + -4a2) = 17

Solving
12a + -4a2 = 17

Solving for variable 'a'.

Reorder the terms:
-17 + 12a + -4a2 = 17 + -17

Combine like terms: 17 + -17 = 0
-17 + 12a + -4a2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
4.25 + -3a + a2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -3a + -4.25 + a2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + -3a + a2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -3a + a2 = 0 + -4.25
-3a + a2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
-3a + a2 = -4.25

The a term is -3a.  Take half its coefficient (-1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
-3a + 2.25 + a2 = -4.25 + 2.25

Reorder the terms:
2.25 + -3a + a2 = -4.25 + 2.25

Combine like terms: -4.25 + 2.25 = -2
2.25 + -3a + a2 = -2

Factor a perfect square on the left side:
(a + -1.5)(a + -1.5) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.