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


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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