(-8a+a-16)(a+19)=

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Solution for (-8a+a-16)(a+19)= equation: 


Simplifying
(-8a + a + -16)(a + 19) = 0

Reorder the terms:
(-16 + -8a + a)(a + 19) = 0

Combine like terms: -8a + a = -7a
(-16 + -7a)(a + 19) = 0

Reorder the terms:
(-16 + -7a)(19 + a) = 0

Multiply (-16 + -7a) * (19 + a)
(-16(19 + a) + -7a * (19 + a)) = 0
((19 * -16 + a * -16) + -7a * (19 + a)) = 0
((-304 + -16a) + -7a * (19 + a)) = 0
(-304 + -16a + (19 * -7a + a * -7a)) = 0
(-304 + -16a + (-133a + -7a2)) = 0

Combine like terms: -16a + -133a = -149a
(-304 + -149a + -7a2) = 0

Solving
-304 + -149a + -7a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(304 + 149a + 7a2) = 0

Factor a trinomial.
-1((19 + a)(16 + 7a)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(19 + a)' equal to zero and attempt to solve:

Simplifying
19 + a = 0

Solving
19 + a = 0

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

Add '-19' to each side of the equation.
19 + -19 + a = 0 + -19

Combine like terms: 19 + -19 = 0
0 + a = 0 + -19
a = 0 + -19

Combine like terms: 0 + -19 = -19
a = -19

Simplifying
a = -19

Subproblem 2
Set the factor '(16 + 7a)' equal to zero and attempt to solve:

Simplifying
16 + 7a = 0

Solving
16 + 7a = 0

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

Add '-16' to each side of the equation.
16 + -16 + 7a = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 7a = 0 + -16
7a = 0 + -16

Combine like terms: 0 + -16 = -16
7a = -16

Divide each side by '7'.
a = -2.285714286

Simplifying
a = -2.285714286
Solution
a = {-19, -2.285714286}

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