(-3a-8)(5a-2)=

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Solution for (-3a-8)(5a-2)= equation: 


Simplifying
(-3a + -8)(5a + -2) = 0

Reorder the terms:
(-8 + -3a)(5a + -2) = 0

Reorder the terms:
(-8 + -3a)(-2 + 5a) = 0

Multiply (-8 + -3a) * (-2 + 5a)
(-8(-2 + 5a) + -3a * (-2 + 5a)) = 0
((-2 * -8 + 5a * -8) + -3a * (-2 + 5a)) = 0
((16 + -40a) + -3a * (-2 + 5a)) = 0
(16 + -40a + (-2 * -3a + 5a * -3a)) = 0
(16 + -40a + (6a + -15a2)) = 0

Combine like terms: -40a + 6a = -34a
(16 + -34a + -15a2) = 0

Solving
16 + -34a + -15a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(2 + -5a)(8 + 3a) = 0


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

Simplifying
2 + -5a = 0

Solving
2 + -5a = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5a = 0 + -2

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

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

Divide each side by '-5'.
a = 0.4

Simplifying
a = 0.4

Subproblem 2
Set the factor '(8 + 3a)' equal to zero and attempt to solve:

Simplifying
8 + 3a = 0

Solving
8 + 3a = 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 + 3a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3a = 0 + -8
3a = 0 + -8

Combine like terms: 0 + -8 = -8
3a = -8

Divide each side by '3'.
a = -2.666666667

Simplifying
a = -2.666666667
Solution
a = {0.4, -2.666666667}

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