16x+4=-16x^2

Solution for 16x+4=-16x^2 equation:

Simplifying
16x + 4 = -16x2

Reorder the terms:
4 + 16x = -16x2

Solving
4 + 16x = -16x2

Solving for variable 'x'.

Combine like terms: -16x2 + 16x2 = 0
4 + 16x + 16x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + 4x + 4x2) = 0

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

Ignore the factor 4.
Subproblem 1
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
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 = {-0.5, -0.5}