4x^2-32x+50=

Solution for 4x^2-32x+50= equation:

Simplifying
4x2 + -32x + 50 = 0

Reorder the terms:
50 + -32x + 4x2 = 0

Solving
50 + -32x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(25 + -16x + 2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(25 + -16x + 2x2)' equal to zero and attempt to solve:

Simplifying
25 + -16x + 2x2 = 0

Solving
25 + -16x + 2x2 = 0

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

Divide each side by '2'.
12.5 + -8x + x2 = 0

Move the constant term to the right:

Add '-12.5' to each side of the equation.
12.5 + -8x + -12.5 + x2 = 0 + -12.5

Reorder the terms:
12.5 + -12.5 + -8x + x2 = 0 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + -8x + x2 = 0 + -12.5
-8x + x2 = 0 + -12.5

Combine like terms: 0 + -12.5 = -12.5
-8x + x2 = -12.5

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -12.5 + 16

Reorder the terms:
16 + -8x + x2 = -12.5 + 16

Combine like terms: -12.5 + 16 = 3.5
16 + -8x + x2 = 3.5

Factor a perfect square on the left side:
(x + -4)(x + -4) = 3.5

Calculate the square root of the right side: 1.870828693

Break this problem into two subproblems by setting 
(x + -4) equal to 1.870828693 and -1.870828693.

Subproblem 1
x + -4 = 1.870828693

Simplifying
x + -4 = 1.870828693

Reorder the terms:
-4 + x = 1.870828693

Solving
-4 + x = 1.870828693

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = 1.870828693 + 4

Combine like terms: -4 + 4 = 0
0 + x = 1.870828693 + 4
x = 1.870828693 + 4

Combine like terms: 1.870828693 + 4 = 5.870828693
x = 5.870828693

Simplifying
x = 5.870828693

Subproblem 2
x + -4 = -1.870828693

Simplifying
x + -4 = -1.870828693

Reorder the terms:
-4 + x = -1.870828693

Solving
-4 + x = -1.870828693

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + x = -1.870828693 + 4

Combine like terms: -4 + 4 = 0
0 + x = -1.870828693 + 4
x = -1.870828693 + 4

Combine like terms: -1.870828693 + 4 = 2.129171307
x = 2.129171307

Simplifying
x = 2.129171307

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.870828693, 2.129171307}
Solution
x = {5.870828693, 2.129171307}