-16x^2-20x-5=1

Solution for -16x^2-20x-5=1 equation:

Simplifying
-16x2 + -20x + -5 = 1

Reorder the terms:
-5 + -20x + -16x2 = 1

Solving
-5 + -20x + -16x2 = 1

Solving for variable 'x'.

Reorder the terms:
-5 + -1 + -20x + -16x2 = 1 + -1

Combine like terms: -5 + -1 = -6
-6 + -20x + -16x2 = 1 + -1

Combine like terms: 1 + -1 = 0
-6 + -20x + -16x2 = 0

Factor out the Greatest Common Factor (GCF), '-2'.
-2(3 + 10x + 8x2) = 0

Factor a trinomial.
-2((3 + 4x)(1 + 2x)) = 0

Ignore the factor -2.
Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve:

Simplifying
3 + 4x = 0

Solving
3 + 4x = 0

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

Add '-3' to each side of the equation.
3 + -3 + 4x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 4x = 0 + -3
4x = 0 + -3

Combine like terms: 0 + -3 = -3
4x = -3

Divide each side by '4'.
x = -0.75

Simplifying
x = -0.75
Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-0.75, -0.5}