-4a^2-5a+80=-4

Solution for -4a^2-5a+80=-4 equation:

Simplifying
-4a2 + -5a + 80 = -4

Reorder the terms:
80 + -5a + -4a2 = -4

Solving
80 + -5a + -4a2 = -4

Solving for variable 'a'.

Reorder the terms:
80 + 4 + -5a + -4a2 = -4 + 4

Combine like terms: 80 + 4 = 84
84 + -5a + -4a2 = -4 + 4

Combine like terms: -4 + 4 = 0
84 + -5a + -4a2 = 0

Factor a trinomial.
(4 + -1a)(21 + 4a) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(21 + 4a)' equal to zero and attempt to solve:

Simplifying
21 + 4a = 0

Solving
21 + 4a = 0

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

Add '-21' to each side of the equation.
21 + -21 + 4a = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 4a = 0 + -21
4a = 0 + -21

Combine like terms: 0 + -21 = -21
4a = -21

Divide each side by '4'.
a = -5.25

Simplifying
a = -5.25
Solution
a = {4, -5.25}