8f^2-10f+20=0

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Solution for 8f^2-10f+20=0 equation: 


Simplifying
8f2 + -10f + 20 = 0

Reorder the terms:
20 + -10f + 8f2 = 0

Solving
20 + -10f + 8f2 = 0

Solving for variable 'f'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -5f + 4f2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(10 + -5f + 4f2)' equal to zero and attempt to solve:

Simplifying
10 + -5f + 4f2 = 0

Solving
10 + -5f + 4f2 = 0

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

Divide each side by '4'.
2.5 + -1.25f + f2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + -1.25f + -2.5 + f2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + -1.25f + f2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + -1.25f + f2 = 0 + -2.5
-1.25f + f2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
-1.25f + f2 = -2.5

The f term is -1.25f.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25f + 0.390625 + f2 = -2.5 + 0.390625

Reorder the terms:
0.390625 + -1.25f + f2 = -2.5 + 0.390625

Combine like terms: -2.5 + 0.390625 = -2.109375
0.390625 + -1.25f + f2 = -2.109375

Factor a perfect square on the left side:
(f + -0.625)(f + -0.625) = -2.109375

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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