1.25x^2-20x+100=0

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Solution for 1.25x^2-20x+100=0 equation:


Simplifying
1.25x2 + -20x + 100 = 0

Reorder the terms:
100 + -20x + 1.25x2 = 0

Solving
100 + -20x + 1.25x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.25'.
80 + -16x + x2 = 0

Move the constant term to the right:

Add '-80' to each side of the equation.
80 + -16x + -80 + x2 = 0 + -80

Reorder the terms:
80 + -80 + -16x + x2 = 0 + -80

Combine like terms: 80 + -80 = 0
0 + -16x + x2 = 0 + -80
-16x + x2 = 0 + -80

Combine like terms: 0 + -80 = -80
-16x + x2 = -80

The x term is -16x.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16x + 64 + x2 = -80 + 64

Reorder the terms:
64 + -16x + x2 = -80 + 64

Combine like terms: -80 + 64 = -16
64 + -16x + x2 = -16

Factor a perfect square on the left side:
(x + -8)(x + -8) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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