(2a-3a)(4a+5)=

Solution for (2a-3a)(4a+5)= equation:

Simplifying
(2a + -3a)(4a + 5) = 0

Combine like terms: 2a + -3a = -1a
(-1a)(4a + 5) = 0

Remove parenthesis around (-1a)
-1a(4a + 5) = 0

Reorder the terms:
-1a(5 + 4a) = 0
(5 * -1a + 4a * -1a) = 0
(-5a + -4a2) = 0

Solving
-5a + -4a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1a'.
-1a(5 + 4a) = 0

Ignore the factor -1.
Subproblem 1
Set the factor 'a' equal to zero and attempt to solve:

Simplifying
a = 0

Solving
a = 0

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

Simplifying
a = 0
Subproblem 2
Set the factor '(5 + 4a)' equal to zero and attempt to solve:

Simplifying
5 + 4a = 0

Solving
5 + 4a = 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 + 4a = 0 + -5

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

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

Divide each side by '4'.
a = -1.25

Simplifying
a = -1.25
Solution
a = {0, -1.25}