3a^2+3a-1800=0

Solution for 3a^2+3a-1800=0 equation:

Simplifying
3a2 + 3a + -1800 = 0

Reorder the terms:
-1800 + 3a + 3a2 = 0

Solving
-1800 + 3a + 3a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-600 + a + a2) = 0

Factor a trinomial.
3((-25 + -1a)(24 + -1a)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-25 + -1a)' equal to zero and attempt to solve:

Simplifying
-25 + -1a = 0

Solving
-25 + -1a = 0

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

Add '25' to each side of the equation.
-25 + 25 + -1a = 0 + 25

Combine like terms: -25 + 25 = 0
0 + -1a = 0 + 25
-1a = 0 + 25

Combine like terms: 0 + 25 = 25
-1a = 25

Divide each side by '-1'.
a = -25

Simplifying
a = -25
Subproblem 2
Set the factor '(24 + -1a)' equal to zero and attempt to solve:

Simplifying
24 + -1a = 0

Solving
24 + -1a = 0

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

Add '-24' to each side of the equation.
24 + -24 + -1a = 0 + -24

Combine like terms: 24 + -24 = 0
0 + -1a = 0 + -24
-1a = 0 + -24

Combine like terms: 0 + -24 = -24
-1a = -24

Divide each side by '-1'.
a = 24

Simplifying
a = 24
Solution
a = {-25, 24}