2a+5-a(a-7)=48

Solution for 2a+5-a(a-7)=48 equation:

Simplifying
2a + 5 + -1a(a + -7) = 48

Reorder the terms:
2a + 5 + -1a(-7 + a) = 48
2a + 5 + (-7 * -1a + a * -1a) = 48
2a + 5 + (7a + -1a2) = 48

Reorder the terms:
5 + 2a + 7a + -1a2 = 48

Combine like terms: 2a + 7a = 9a
5 + 9a + -1a2 = 48

Solving
5 + 9a + -1a2 = 48

Solving for variable 'a'.

Reorder the terms:
5 + -48 + 9a + -1a2 = 48 + -48

Combine like terms: 5 + -48 = -43
-43 + 9a + -1a2 = 48 + -48

Combine like terms: 48 + -48 = 0
-43 + 9a + -1a2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
43 + -9a + a2 = 0

Move the constant term to the right:

Add '-43' to each side of the equation.
43 + -9a + -43 + a2 = 0 + -43

Reorder the terms:
43 + -43 + -9a + a2 = 0 + -43

Combine like terms: 43 + -43 = 0
0 + -9a + a2 = 0 + -43
-9a + a2 = 0 + -43

Combine like terms: 0 + -43 = -43
-9a + a2 = -43

The a term is -9a.  Take half its coefficient (-4.5).
Square it (20.25) and add it to both sides.

Add '20.25' to each side of the equation.
-9a + 20.25 + a2 = -43 + 20.25

Reorder the terms:
20.25 + -9a + a2 = -43 + 20.25

Combine like terms: -43 + 20.25 = -22.75
20.25 + -9a + a2 = -22.75

Factor a perfect square on the left side:
(a + -4.5)(a + -4.5) = -22.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.