8X^2-28X+28=0

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Solution for 8X^2-28X+28=0 equation: 


Simplifying
8X2 + -28X + 28 = 0

Reorder the terms:
28 + -28X + 8X2 = 0

Solving
28 + -28X + 8X2 = 0

Solving for variable 'X'.

Factor out the Greatest Common Factor (GCF), '4'.
4(7 + -7X + 2X2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(7 + -7X + 2X2)' equal to zero and attempt to solve:

Simplifying
7 + -7X + 2X2 = 0

Solving
7 + -7X + 2X2 = 0

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

Divide each side by '2'.
3.5 + -3.5X + X2 = 0

Move the constant term to the right:

Add '-3.5' to each side of the equation.
3.5 + -3.5X + -3.5 + X2 = 0 + -3.5

Reorder the terms:
3.5 + -3.5 + -3.5X + X2 = 0 + -3.5

Combine like terms: 3.5 + -3.5 = 0.0
0.0 + -3.5X + X2 = 0 + -3.5
-3.5X + X2 = 0 + -3.5

Combine like terms: 0 + -3.5 = -3.5
-3.5X + X2 = -3.5

The X term is -3.5X.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5X + 3.0625 + X2 = -3.5 + 3.0625

Reorder the terms:
3.0625 + -3.5X + X2 = -3.5 + 3.0625

Combine like terms: -3.5 + 3.0625 = -0.4375
3.0625 + -3.5X + X2 = -0.4375

Factor a perfect square on the left side:
(X + -1.75)(X + -1.75) = -0.4375

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.

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