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

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


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

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

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

Combine like terms: a + -8a = -7a
(5 + a)(8 + -7a) = 0

Multiply (5 + a) * (8 + -7a)
(5(8 + -7a) + a(8 + -7a)) = 0
((8 * 5 + -7a * 5) + a(8 + -7a)) = 0
((40 + -35a) + a(8 + -7a)) = 0
(40 + -35a + (8 * a + -7a * a)) = 0
(40 + -35a + (8a + -7a2)) = 0

Combine like terms: -35a + 8a = -27a
(40 + -27a + -7a2) = 0

Solving
40 + -27a + -7a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(8 + -7a)(5 + a) = 0


Subproblem 1
Set the factor '(8 + -7a)' equal to zero and attempt to solve:

Simplifying
8 + -7a = 0

Solving
8 + -7a = 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 + -7a = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7a = 0 + -8
-7a = 0 + -8

Combine like terms: 0 + -8 = -8
-7a = -8

Divide each side by '-7'.
a = 1.142857143

Simplifying
a = 1.142857143

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

Simplifying
5 + a = 0

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

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

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

Simplifying
a = -5
Solution
a = {1.142857143, -5}

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