7a-35-a^2+5a=

Solution for 7a-35-a^2+5a= equation:

Simplifying
7a + -35 + -1a2 + 5a = 0

Reorder the terms:
-35 + 7a + 5a + -1a2 = 0

Combine like terms: 7a + 5a = 12a
-35 + 12a + -1a2 = 0

Solving
-35 + 12a + -1a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-7 + a)(5 + -1a) = 0

Subproblem 1
Set the factor '(-7 + a)' equal to zero and attempt to solve:

Simplifying
-7 + a = 0

Solving
-7 + a = 0

Move all terms containing a to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + a = 0 + 7

Combine like terms: -7 + 7 = 0
0 + a = 0 + 7
a = 0 + 7

Combine like terms: 0 + 7 = 7
a = 7

Simplifying
a = 7
Subproblem 2
Set the factor '(5 + -1a)' equal to zero and attempt to solve:

Simplifying
5 + -1a = 0

Solving
5 + -1a = 0

Move all terms containing a to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a = 0 + -5
-1a = 0 + -5

Combine like terms: 0 + -5 = -5
-1a = -5

Divide each side by '-1'.
a = 5

Simplifying
a = 5
Solution
a = {7, 5}