=5x^2-50x+128

Solution for =5x^2-50x+128 equation:

Simplifying
0 = 5x2 + -50x + 128

Reorder the terms:
0 = 128 + -50x + 5x2

Solving
0 = 128 + -50x + 5x2

Solving for variable 'x'.

Combine like terms: 0 + -128 = -128
-128 + 50x + -5x2 = 128 + -50x + 5x2 + -128 + 50x + -5x2

Reorder the terms:
-128 + 50x + -5x2 = 128 + -128 + -50x + 50x + 5x2 + -5x2

Combine like terms: 128 + -128 = 0
-128 + 50x + -5x2 = 0 + -50x + 50x + 5x2 + -5x2
-128 + 50x + -5x2 = -50x + 50x + 5x2 + -5x2

Combine like terms: -50x + 50x = 0
-128 + 50x + -5x2 = 0 + 5x2 + -5x2
-128 + 50x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
-128 + 50x + -5x2 = 0

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

Divide each side by '-5'.
25.6 + -10x + x2 = 0

Move the constant term to the right:

Add '-25.6' to each side of the equation.
25.6 + -10x + -25.6 + x2 = 0 + -25.6

Reorder the terms:
25.6 + -25.6 + -10x + x2 = 0 + -25.6

Combine like terms: 25.6 + -25.6 = 0.0
0.0 + -10x + x2 = 0 + -25.6
-10x + x2 = 0 + -25.6

Combine like terms: 0 + -25.6 = -25.6
-10x + x2 = -25.6

The x term is -10x.  Take half its coefficient (-5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
-10x + 25 + x2 = -25.6 + 25

Reorder the terms:
25 + -10x + x2 = -25.6 + 25

Combine like terms: -25.6 + 25 = -0.6
25 + -10x + x2 = -0.6

Factor a perfect square on the left side:
(x + -5)(x + -5) = -0.6

Can't calculate square root of the right side.

The solution to this equation could not be determined.