9-2(-3-8w)w=5

Solution for 9-2(-3-8w)w=5 equation:

Simplifying
9 + -2(-3 + -8w) * w = 5

Reorder the terms for easier multiplication:
9 + -2w(-3 + -8w) = 5
9 + (-3 * -2w + -8w * -2w) = 5
9 + (6w + 16w2) = 5

Solving
9 + 6w + 16w2 = 5

Solving for variable 'w'.

Reorder the terms:
9 + -5 + 6w + 16w2 = 5 + -5

Combine like terms: 9 + -5 = 4
4 + 6w + 16w2 = 5 + -5

Combine like terms: 5 + -5 = 0
4 + 6w + 16w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + 3w + 8w2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + 3w + 8w2)' equal to zero and attempt to solve:

Simplifying
2 + 3w + 8w2 = 0

Solving
2 + 3w + 8w2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
0.25 + 0.375w + w2 = 0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + 0.375w + -0.25 + w2 = 0 + -0.25

Reorder the terms:
0.25 + -0.25 + 0.375w + w2 = 0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + 0.375w + w2 = 0 + -0.25
0.375w + w2 = 0 + -0.25

Combine like terms: 0 + -0.25 = -0.25
0.375w + w2 = -0.25

The w term is 0.375w.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375w + 0.03515625 + w2 = -0.25 + 0.03515625

Reorder the terms:
0.03515625 + 0.375w + w2 = -0.25 + 0.03515625

Combine like terms: -0.25 + 0.03515625 = -0.21484375
0.03515625 + 0.375w + w2 = -0.21484375

Factor a perfect square on the left side:
(w + 0.1875)(w + 0.1875) = -0.21484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.