32x^2+16x=-2

Solution for 32x^2+16x=-2 equation:

Simplifying
32x2 + 16x = -2

Reorder the terms:
16x + 32x2 = -2

Solving
16x + 32x2 = -2

Solving for variable 'x'.

Reorder the terms:
2 + 16x + 32x2 = -2 + 2

Combine like terms: -2 + 2 = 0
2 + 16x + 32x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 8x + 16x2) = 0

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

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

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Subproblem 2
Set the factor '(1 + 4x)' equal to zero and attempt to solve:

Simplifying
1 + 4x = 0

Solving
1 + 4x = 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 + 4x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4x = 0 + -1
4x = 0 + -1

Combine like terms: 0 + -1 = -1
4x = -1

Divide each side by '4'.
x = -0.25

Simplifying
x = -0.25
Solution
x = {-0.25, -0.25}