-4a^2-45a-50=0

Solution for -4a^2-45a-50=0 equation:

Simplifying
-4a2 + -45a + -50 = 0

Reorder the terms:
-50 + -45a + -4a2 = 0

Solving
-50 + -45a + -4a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(50 + 45a + 4a2) = 0

Factor a trinomial.
-1((10 + a)(5 + 4a)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(10 + a)' equal to zero and attempt to solve:

Simplifying
10 + a = 0

Solving
10 + a = 0

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

Add '-10' to each side of the equation.
10 + -10 + a = 0 + -10

Combine like terms: 10 + -10 = 0
0 + a = 0 + -10
a = 0 + -10

Combine like terms: 0 + -10 = -10
a = -10

Simplifying
a = -10
Subproblem 2
Set the factor '(5 + 4a)' equal to zero and attempt to solve:

Simplifying
5 + 4a = 0

Solving
5 + 4a = 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 + 4a = 0 + -5

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

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

Divide each side by '4'.
a = -1.25

Simplifying
a = -1.25
Solution
a = {-10, -1.25}