96=(x-4)*(16+64x)

Solution for 96=(x-4)*(16+64x) equation:

Simplifying
96 = (x + -4)(16 + 64x)

Reorder the terms:
96 = (-4 + x)(16 + 64x)

Multiply (-4 + x) * (16 + 64x)
96 = (-4(16 + 64x) + x(16 + 64x))
96 = ((16 * -4 + 64x * -4) + x(16 + 64x))
96 = ((-64 + -256x) + x(16 + 64x))
96 = (-64 + -256x + (16 * x + 64x * x))
96 = (-64 + -256x + (16x + 64x2))

Combine like terms: -256x + 16x = -240x
96 = (-64 + -240x + 64x2)

Solving
96 = -64 + -240x + 64x2

Solving for variable 'x'.

Combine like terms: 96 + 64 = 160
160 + 240x + -64x2 = -64 + -240x + 64x2 + 64 + 240x + -64x2

Reorder the terms:
160 + 240x + -64x2 = -64 + 64 + -240x + 240x + 64x2 + -64x2

Combine like terms: -64 + 64 = 0
160 + 240x + -64x2 = 0 + -240x + 240x + 64x2 + -64x2
160 + 240x + -64x2 = -240x + 240x + 64x2 + -64x2

Combine like terms: -240x + 240x = 0
160 + 240x + -64x2 = 0 + 64x2 + -64x2
160 + 240x + -64x2 = 64x2 + -64x2

Combine like terms: 64x2 + -64x2 = 0
160 + 240x + -64x2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(10 + 15x + -4x2) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(10 + 15x + -4x2)' equal to zero and attempt to solve:

Simplifying
10 + 15x + -4x2 = 0

Solving
10 + 15x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
-2.5 + -3.75x + x2 = 0

Move the constant term to the right:

Add '2.5' to each side of the equation.
-2.5 + -3.75x + 2.5 + x2 = 0 + 2.5

Reorder the terms:
-2.5 + 2.5 + -3.75x + x2 = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -3.75x + x2 = 0 + 2.5
-3.75x + x2 = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
-3.75x + x2 = 2.5

The x term is -3.75x.  Take half its coefficient (-1.875).
Square it (3.515625) and add it to both sides.

Add '3.515625' to each side of the equation.
-3.75x + 3.515625 + x2 = 2.5 + 3.515625

Reorder the terms:
3.515625 + -3.75x + x2 = 2.5 + 3.515625

Combine like terms: 2.5 + 3.515625 = 6.015625
3.515625 + -3.75x + x2 = 6.015625

Factor a perfect square on the left side:
(x + -1.875)(x + -1.875) = 6.015625

Calculate the square root of the right side: 2.452677109

Break this problem into two subproblems by setting 
(x + -1.875) equal to 2.452677109 and -2.452677109.

Subproblem 1
x + -1.875 = 2.452677109

Simplifying
x + -1.875 = 2.452677109

Reorder the terms:
-1.875 + x = 2.452677109

Solving
-1.875 + x = 2.452677109

Solving for variable 'x'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + x = 2.452677109 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + x = 2.452677109 + 1.875
x = 2.452677109 + 1.875

Combine like terms: 2.452677109 + 1.875 = 4.327677109
x = 4.327677109

Simplifying
x = 4.327677109

Subproblem 2
x + -1.875 = -2.452677109

Simplifying
x + -1.875 = -2.452677109

Reorder the terms:
-1.875 + x = -2.452677109

Solving
-1.875 + x = -2.452677109

Solving for variable 'x'.

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

Add '1.875' to each side of the equation.
-1.875 + 1.875 + x = -2.452677109 + 1.875

Combine like terms: -1.875 + 1.875 = 0.000
0.000 + x = -2.452677109 + 1.875
x = -2.452677109 + 1.875

Combine like terms: -2.452677109 + 1.875 = -0.577677109
x = -0.577677109

Simplifying
x = -0.577677109

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {4.327677109, -0.577677109}
Solution
x = {4.327677109, -0.577677109}