918=(10w-4)(w-4)(4)

Solution for 918=(10w-4)(w-4)(4) equation:

Simplifying
918 = (10w + -4)(w + -4)(4)

Reorder the terms:
918 = (-4 + 10w)(w + -4)(4)

Reorder the terms:
918 = (-4 + 10w)(-4 + w)(4)

Reorder the terms for easier multiplication:
918 = 4(-4 + 10w)(-4 + w)

Multiply (-4 + 10w) * (-4 + w)
918 = 4(-4(-4 + w) + 10w * (-4 + w))
918 = 4((-4 * -4 + w * -4) + 10w * (-4 + w))
918 = 4((16 + -4w) + 10w * (-4 + w))
918 = 4(16 + -4w + (-4 * 10w + w * 10w))
918 = 4(16 + -4w + (-40w + 10w2))

Combine like terms: -4w + -40w = -44w
918 = 4(16 + -44w + 10w2)
918 = (16 * 4 + -44w * 4 + 10w2 * 4)
918 = (64 + -176w + 40w2)

Solving
918 = 64 + -176w + 40w2

Solving for variable 'w'.

Combine like terms: 918 + -64 = 854
854 + 176w + -40w2 = 64 + -176w + 40w2 + -64 + 176w + -40w2

Reorder the terms:
854 + 176w + -40w2 = 64 + -64 + -176w + 176w + 40w2 + -40w2

Combine like terms: 64 + -64 = 0
854 + 176w + -40w2 = 0 + -176w + 176w + 40w2 + -40w2
854 + 176w + -40w2 = -176w + 176w + 40w2 + -40w2

Combine like terms: -176w + 176w = 0
854 + 176w + -40w2 = 0 + 40w2 + -40w2
854 + 176w + -40w2 = 40w2 + -40w2

Combine like terms: 40w2 + -40w2 = 0
854 + 176w + -40w2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(427 + 88w + -20w2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(427 + 88w + -20w2)' equal to zero and attempt to solve:

Simplifying
427 + 88w + -20w2 = 0

Solving
427 + 88w + -20w2 = 0

Begin completing the square.  Divide all terms by
-20 the coefficient of the squared term: 

Divide each side by '-20'.
-21.35 + -4.4w + w2 = 0.0

Move the constant term to the right:

Add '21.35' to each side of the equation.
-21.35 + -4.4w + 21.35 + w2 = 0.0 + 21.35

Reorder the terms:
-21.35 + 21.35 + -4.4w + w2 = 0.0 + 21.35

Combine like terms: -21.35 + 21.35 = 0.00
0.00 + -4.4w + w2 = 0.0 + 21.35
-4.4w + w2 = 0.0 + 21.35

Combine like terms: 0.0 + 21.35 = 21.35
-4.4w + w2 = 21.35

The w term is -4.4w.  Take half its coefficient (-2.2).
Square it (4.84) and add it to both sides.

Add '4.84' to each side of the equation.
-4.4w + 4.84 + w2 = 21.35 + 4.84

Reorder the terms:
4.84 + -4.4w + w2 = 21.35 + 4.84

Combine like terms: 21.35 + 4.84 = 26.19
4.84 + -4.4w + w2 = 26.19

Factor a perfect square on the left side:
(w + -2.2)(w + -2.2) = 26.19

Calculate the square root of the right side: 5.117616633

Break this problem into two subproblems by setting 
(w + -2.2) equal to 5.117616633 and -5.117616633.

Subproblem 1
w + -2.2 = 5.117616633

Simplifying
w + -2.2 = 5.117616633

Reorder the terms:
-2.2 + w = 5.117616633

Solving
-2.2 + w = 5.117616633

Solving for variable 'w'.

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

Add '2.2' to each side of the equation.
-2.2 + 2.2 + w = 5.117616633 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + w = 5.117616633 + 2.2
w = 5.117616633 + 2.2

Combine like terms: 5.117616633 + 2.2 = 7.317616633
w = 7.317616633

Simplifying
w = 7.317616633

Subproblem 2
w + -2.2 = -5.117616633

Simplifying
w + -2.2 = -5.117616633

Reorder the terms:
-2.2 + w = -5.117616633

Solving
-2.2 + w = -5.117616633

Solving for variable 'w'.

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

Add '2.2' to each side of the equation.
-2.2 + 2.2 + w = -5.117616633 + 2.2

Combine like terms: -2.2 + 2.2 = 0.0
0.0 + w = -5.117616633 + 2.2
w = -5.117616633 + 2.2

Combine like terms: -5.117616633 + 2.2 = -2.917616633
w = -2.917616633

Simplifying
w = -2.917616633

Solution
The solution to the problem is based on the solutions
from the subproblems.
w = {7.317616633, -2.917616633}
Solution
w = {7.317616633, -2.917616633}