8x^2-28x+98=0

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Solution for 8x^2-28x+98=0 equation: 


Simplifying
8x2 + -28x + 98 = 0

Reorder the terms:
98 + -28x + 8x2 = 0

Solving
98 + -28x + 8x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -14x + 4x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(49 + -14x + 4x2)' equal to zero and attempt to solve:

Simplifying
49 + -14x + 4x2 = 0

Solving
49 + -14x + 4x2 = 0

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

Divide each side by '4'.
12.25 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-12.25' to each side of the equation.
12.25 + -3.5x + -12.25 + x2 = 0 + -12.25

Reorder the terms:
12.25 + -12.25 + -3.5x + x2 = 0 + -12.25

Combine like terms: 12.25 + -12.25 = 0.00
0.00 + -3.5x + x2 = 0 + -12.25
-3.5x + x2 = 0 + -12.25

Combine like terms: 0 + -12.25 = -12.25
-3.5x + x2 = -12.25

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 = -12.25 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -12.25 + 3.0625

Combine like terms: -12.25 + 3.0625 = -9.1875
3.0625 + -3.5x + x2 = -9.1875

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -9.1875

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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