25x^2-50x+12=0

Solution for 25x^2-50x+12=0 equation:

Simplifying
25x2 + -50x + 12 = 0

Reorder the terms:
12 + -50x + 25x2 = 0

Solving
12 + -50x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
0.48 + -2x + x2 = 0

Move the constant term to the right:

Add '-0.48' to each side of the equation.
0.48 + -2x + -0.48 + x2 = 0 + -0.48

Reorder the terms:
0.48 + -0.48 + -2x + x2 = 0 + -0.48

Combine like terms: 0.48 + -0.48 = 0.00
0.00 + -2x + x2 = 0 + -0.48
-2x + x2 = 0 + -0.48

Combine like terms: 0 + -0.48 = -0.48
-2x + x2 = -0.48

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -0.48 + 1

Reorder the terms:
1 + -2x + x2 = -0.48 + 1

Combine like terms: -0.48 + 1 = 0.52
1 + -2x + x2 = 0.52

Factor a perfect square on the left side:
(x + -1)(x + -1) = 0.52

Calculate the square root of the right side: 0.721110255

Break this problem into two subproblems by setting 
(x + -1) equal to 0.721110255 and -0.721110255.

Subproblem 1
x + -1 = 0.721110255

Simplifying
x + -1 = 0.721110255

Reorder the terms:
-1 + x = 0.721110255

Solving
-1 + x = 0.721110255

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = 0.721110255 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0.721110255 + 1
x = 0.721110255 + 1

Combine like terms: 0.721110255 + 1 = 1.721110255
x = 1.721110255

Simplifying
x = 1.721110255

Subproblem 2
x + -1 = -0.721110255

Simplifying
x + -1 = -0.721110255

Reorder the terms:
-1 + x = -0.721110255

Solving
-1 + x = -0.721110255

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + x = -0.721110255 + 1

Combine like terms: -1 + 1 = 0
0 + x = -0.721110255 + 1
x = -0.721110255 + 1

Combine like terms: -0.721110255 + 1 = 0.278889745
x = 0.278889745

Simplifying
x = 0.278889745

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.721110255, 0.278889745}