0=-5a^2+16a+16

Solution for 0=-5a^2+16a+16 equation:

Simplifying
0 = -5a2 + 16a + 16

Reorder the terms:
0 = 16 + 16a + -5a2

Solving
0 = 16 + 16a + -5a2

Solving for variable 'a'.

Combine like terms: 0 + -16 = -16
-16 + -16a + 5a2 = 16 + 16a + -5a2 + -16 + -16a + 5a2

Reorder the terms:
-16 + -16a + 5a2 = 16 + -16 + 16a + -16a + -5a2 + 5a2

Combine like terms: 16 + -16 = 0
-16 + -16a + 5a2 = 0 + 16a + -16a + -5a2 + 5a2
-16 + -16a + 5a2 = 16a + -16a + -5a2 + 5a2

Combine like terms: 16a + -16a = 0
-16 + -16a + 5a2 = 0 + -5a2 + 5a2
-16 + -16a + 5a2 = -5a2 + 5a2

Combine like terms: -5a2 + 5a2 = 0
-16 + -16a + 5a2 = 0

Factor a trinomial.
(-4 + -5a)(4 + -1a) = 0

Subproblem 1
Set the factor '(-4 + -5a)' equal to zero and attempt to solve:

Simplifying
-4 + -5a = 0

Solving
-4 + -5a = 0

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

Add '4' to each side of the equation.
-4 + 4 + -5a = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -5a = 0 + 4
-5a = 0 + 4

Combine like terms: 0 + 4 = 4
-5a = 4

Divide each side by '-5'.
a = -0.8

Simplifying
a = -0.8
Subproblem 2
Set the factor '(4 + -1a)' equal to zero and attempt to solve:

Simplifying
4 + -1a = 0

Solving
4 + -1a = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1a = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1a = 0 + -4
-1a = 0 + -4

Combine like terms: 0 + -4 = -4
-1a = -4

Divide each side by '-1'.
a = 4

Simplifying
a = 4
Solution
a = {-0.8, 4}