30a^2-25a+24a-20=

Solution for 30a^2-25a+24a-20= equation:

Simplifying
30a2 + -25a + 24a + -20 = 0

Reorder the terms:
-20 + -25a + 24a + 30a2 = 0

Combine like terms: -25a + 24a = -1a
-20 + -1a + 30a2 = 0

Solving
-20 + -1a + 30a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-4 + -5a)(5 + -6a) = 0

Subproblem 1
Set the factor '(-4 + -5a)' equal to zero and attempt to solve:

Simplifying
-4 + -5a = 0

Solving
-4 + -5a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5a = 0 + 4
-5a = 0 + 4

Combine like terms: 0 + 4 = 4
-5a = 4

Divide each side by '-5'.
a = -0.8

Simplifying
a = -0.8
Subproblem 2
Set the factor '(5 + -6a)' equal to zero and attempt to solve:

Simplifying
5 + -6a = 0

Solving
5 + -6a = 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 + -6a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6a = 0 + -5
-6a = 0 + -5

Combine like terms: 0 + -5 = -5
-6a = -5

Divide each side by '-6'.
a = 0.8333333333

Simplifying
a = 0.8333333333
Solution
a = {-0.8, 0.8333333333}