20x+8=-8x^2

Solution for 20x+8=-8x^2 equation:

Simplifying
20x + 8 = -8x2

Reorder the terms:
8 + 20x = -8x2

Solving
8 + 20x = -8x2

Solving for variable 'x'.

Combine like terms: -8x2 + 8x2 = 0
8 + 20x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + 5x + 2x2) = 0

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

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
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 = {-2, -0.5}