60=(20x-2)(16x-2)

Solution for 60=(20x-2)(16x-2) equation:

Simplifying
60 = (20x + -2)(16x + -2)

Reorder the terms:
60 = (-2 + 20x)(16x + -2)

Reorder the terms:
60 = (-2 + 20x)(-2 + 16x)

Multiply (-2 + 20x) * (-2 + 16x)
60 = (-2(-2 + 16x) + 20x * (-2 + 16x))
60 = ((-2 * -2 + 16x * -2) + 20x * (-2 + 16x))
60 = ((4 + -32x) + 20x * (-2 + 16x))
60 = (4 + -32x + (-2 * 20x + 16x * 20x))
60 = (4 + -32x + (-40x + 320x2))

Combine like terms: -32x + -40x = -72x
60 = (4 + -72x + 320x2)

Solving
60 = 4 + -72x + 320x2

Solving for variable 'x'.

Combine like terms: 60 + -4 = 56
56 + 72x + -320x2 = 4 + -72x + 320x2 + -4 + 72x + -320x2

Reorder the terms:
56 + 72x + -320x2 = 4 + -4 + -72x + 72x + 320x2 + -320x2

Combine like terms: 4 + -4 = 0
56 + 72x + -320x2 = 0 + -72x + 72x + 320x2 + -320x2
56 + 72x + -320x2 = -72x + 72x + 320x2 + -320x2

Combine like terms: -72x + 72x = 0
56 + 72x + -320x2 = 0 + 320x2 + -320x2
56 + 72x + -320x2 = 320x2 + -320x2

Combine like terms: 320x2 + -320x2 = 0
56 + 72x + -320x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(7 + 9x + -40x2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(7 + 9x + -40x2)' equal to zero and attempt to solve:

Simplifying
7 + 9x + -40x2 = 0

Solving
7 + 9x + -40x2 = 0

Begin completing the square.  Divide all terms by
-40 the coefficient of the squared term: 

Divide each side by '-40'.
-0.175 + -0.225x + x2 = 0.0

Move the constant term to the right:

Add '0.175' to each side of the equation.
-0.175 + -0.225x + 0.175 + x2 = 0.0 + 0.175

Reorder the terms:
-0.175 + 0.175 + -0.225x + x2 = 0.0 + 0.175

Combine like terms: -0.175 + 0.175 = 0.000
0.000 + -0.225x + x2 = 0.0 + 0.175
-0.225x + x2 = 0.0 + 0.175

Combine like terms: 0.0 + 0.175 = 0.175
-0.225x + x2 = 0.175

The x term is -0.225x.  Take half its coefficient (-0.1125).
Square it (0.01265625) and add it to both sides.

Add '0.01265625' to each side of the equation.
-0.225x + 0.01265625 + x2 = 0.175 + 0.01265625

Reorder the terms:
0.01265625 + -0.225x + x2 = 0.175 + 0.01265625

Combine like terms: 0.175 + 0.01265625 = 0.18765625
0.01265625 + -0.225x + x2 = 0.18765625

Factor a perfect square on the left side:
(x + -0.1125)(x + -0.1125) = 0.18765625

Calculate the square root of the right side: 0.433193086

Break this problem into two subproblems by setting 
(x + -0.1125) equal to 0.433193086 and -0.433193086.

Subproblem 1
x + -0.1125 = 0.433193086

Simplifying
x + -0.1125 = 0.433193086

Reorder the terms:
-0.1125 + x = 0.433193086

Solving
-0.1125 + x = 0.433193086

Solving for variable 'x'.

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

Add '0.1125' to each side of the equation.
-0.1125 + 0.1125 + x = 0.433193086 + 0.1125

Combine like terms: -0.1125 + 0.1125 = 0.0000
0.0000 + x = 0.433193086 + 0.1125
x = 0.433193086 + 0.1125

Combine like terms: 0.433193086 + 0.1125 = 0.545693086
x = 0.545693086

Simplifying
x = 0.545693086

Subproblem 2
x + -0.1125 = -0.433193086

Simplifying
x + -0.1125 = -0.433193086

Reorder the terms:
-0.1125 + x = -0.433193086

Solving
-0.1125 + x = -0.433193086

Solving for variable 'x'.

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

Add '0.1125' to each side of the equation.
-0.1125 + 0.1125 + x = -0.433193086 + 0.1125

Combine like terms: -0.1125 + 0.1125 = 0.0000
0.0000 + x = -0.433193086 + 0.1125
x = -0.433193086 + 0.1125

Combine like terms: -0.433193086 + 0.1125 = -0.320693086
x = -0.320693086

Simplifying
x = -0.320693086

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.545693086, -0.320693086}
Solution
x = {0.545693086, -0.320693086}