a^2-29a-30=0

Solution for a^2-29a-30=0 equation:

Simplifying
a2 + -29a + -30 = 0

Reorder the terms:
-30 + -29a + a2 = 0

Solving
-30 + -29a + a2 = 0

Solving for variable 'a'.

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

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

Simplifying
-1 + -1a = 0

Solving
-1 + -1a = 0

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

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

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

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

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

Simplifying
a = -1
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 = {-1, 30}