35=a(a-2)

Solution for 35=a(a-2) equation:

Simplifying
35 = a(a + -2)

Reorder the terms:
35 = a(-2 + a)
35 = (-2 * a + a * a)
35 = (-2a + a2)

Solving
35 = -2a + a2

Solving for variable 'a'.

Reorder the terms:
35 + 2a + -1a2 = -2a + 2a + a2 + -1a2

Combine like terms: -2a + 2a = 0
35 + 2a + -1a2 = 0 + a2 + -1a2
35 + 2a + -1a2 = a2 + -1a2

Combine like terms: a2 + -1a2 = 0
35 + 2a + -1a2 = 0

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

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

Simplifying
7 + -1a = 0

Solving
7 + -1a = 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 + -1a = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1a = 0 + -7
-1a = 0 + -7

Combine like terms: 0 + -7 = -7
-1a = -7

Divide each side by '-1'.
a = 7

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

Simplifying
5 + a = 0

Solving
5 + a = 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 + a = 0 + -5

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

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

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