a(a-32)+60=0

Solution for a(a-32)+60=0 equation:

Simplifying
a(a + -32) + 60 = 0

Reorder the terms:
a(-32 + a) + 60 = 0
(-32 * a + a * a) + 60 = 0
(-32a + a2) + 60 = 0

Reorder the terms:
60 + -32a + a2 = 0

Solving
60 + -32a + a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -1a)(30 + -1a) = 0

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

Simplifying
2 + -1a = 0

Solving
2 + -1a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1a = 0 + -2

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

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

Divide each side by '-1'.
a = 2

Simplifying
a = 2
Subproblem 2
Set the factor '(30 + -1a)' equal to zero and attempt to solve:

Simplifying
30 + -1a = 0

Solving
30 + -1a = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1a = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1a = 0 + -30
-1a = 0 + -30

Combine like terms: 0 + -30 = -30
-1a = -30

Divide each side by '-1'.
a = 30

Simplifying
a = 30
Solution
a = {2, 30}