0=40x^2-40x+48

Solution for 0=40x^2-40x+48 equation:

Simplifying
0 = 40x2 + -40x + 48

Reorder the terms:
0 = 48 + -40x + 40x2

Solving
0 = 48 + -40x + 40x2

Solving for variable 'x'.

Combine like terms: 0 + -48 = -48
-48 + 40x + -40x2 = 48 + -40x + 40x2 + -48 + 40x + -40x2

Reorder the terms:
-48 + 40x + -40x2 = 48 + -48 + -40x + 40x + 40x2 + -40x2

Combine like terms: 48 + -48 = 0
-48 + 40x + -40x2 = 0 + -40x + 40x + 40x2 + -40x2
-48 + 40x + -40x2 = -40x + 40x + 40x2 + -40x2

Combine like terms: -40x + 40x = 0
-48 + 40x + -40x2 = 0 + 40x2 + -40x2
-48 + 40x + -40x2 = 40x2 + -40x2

Combine like terms: 40x2 + -40x2 = 0
-48 + 40x + -40x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-6 + 5x + -5x2) = 0

Ignore the factor 8.
Subproblem 1
Set the factor '(-6 + 5x + -5x2)' equal to zero and attempt to solve:

Simplifying
-6 + 5x + -5x2 = 0

Solving
-6 + 5x + -5x2 = 0

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.2 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.2' to each side of the equation.
1.2 + -1x + -1.2 + x2 = 0 + -1.2

Reorder the terms:
1.2 + -1.2 + -1x + x2 = 0 + -1.2

Combine like terms: 1.2 + -1.2 = 0.0
0.0 + -1x + x2 = 0 + -1.2
-1x + x2 = 0 + -1.2

Combine like terms: 0 + -1.2 = -1.2
-1x + x2 = -1.2

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.2 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.2 + 0.25

Combine like terms: -1.2 + 0.25 = -0.95
0.25 + -1x + x2 = -0.95

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -0.95

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.