(-5a-8)(2a+5)=

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Solution for (-5a-8)(2a+5)= equation: 


Simplifying
(-5a + -8)(2a + 5) = 0

Reorder the terms:
(-8 + -5a)(2a + 5) = 0

Reorder the terms:
(-8 + -5a)(5 + 2a) = 0

Multiply (-8 + -5a) * (5 + 2a)
(-8(5 + 2a) + -5a * (5 + 2a)) = 0
((5 * -8 + 2a * -8) + -5a * (5 + 2a)) = 0
((-40 + -16a) + -5a * (5 + 2a)) = 0
(-40 + -16a + (5 * -5a + 2a * -5a)) = 0
(-40 + -16a + (-25a + -10a2)) = 0

Combine like terms: -16a + -25a = -41a
(-40 + -41a + -10a2) = 0

Solving
-40 + -41a + -10a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(40 + 41a + 10a2) = 0

Factor a trinomial.
-1((5 + 2a)(8 + 5a)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 2a)' equal to zero and attempt to solve:

Simplifying
5 + 2a = 0

Solving
5 + 2a = 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 + 2a = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 2a = 0 + -5
2a = 0 + -5

Combine like terms: 0 + -5 = -5
2a = -5

Divide each side by '2'.
a = -2.5

Simplifying
a = -2.5

Subproblem 2
Set the factor '(8 + 5a)' equal to zero and attempt to solve:

Simplifying
8 + 5a = 0

Solving
8 + 5a = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5a = 0 + -8
5a = 0 + -8

Combine like terms: 0 + -8 = -8
5a = -8

Divide each side by '5'.
a = -1.6

Simplifying
a = -1.6
Solution
a = {-2.5, -1.6}

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