0=-16X^2+80X-177

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Solution for 0=-16X^2+80X-177 equation: 


Simplifying
0 = -16X2 + 80X + -177

Reorder the terms:
0 = -177 + 80X + -16X2

Solving
0 = -177 + 80X + -16X2

Solving for variable 'X'.

Combine like terms: 0 + 177 = 177
177 + -80X + 16X2 = -177 + 80X + -16X2 + 177 + -80X + 16X2

Reorder the terms:
177 + -80X + 16X2 = -177 + 177 + 80X + -80X + -16X2 + 16X2

Combine like terms: -177 + 177 = 0
177 + -80X + 16X2 = 0 + 80X + -80X + -16X2 + 16X2
177 + -80X + 16X2 = 80X + -80X + -16X2 + 16X2

Combine like terms: 80X + -80X = 0
177 + -80X + 16X2 = 0 + -16X2 + 16X2
177 + -80X + 16X2 = -16X2 + 16X2

Combine like terms: -16X2 + 16X2 = 0
177 + -80X + 16X2 = 0

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

Divide each side by '16'.
11.0625 + -5X + X2 = 0

Move the constant term to the right:

Add '-11.0625' to each side of the equation.
11.0625 + -5X + -11.0625 + X2 = 0 + -11.0625

Reorder the terms:
11.0625 + -11.0625 + -5X + X2 = 0 + -11.0625

Combine like terms: 11.0625 + -11.0625 = 0.0000
0.0000 + -5X + X2 = 0 + -11.0625
-5X + X2 = 0 + -11.0625

Combine like terms: 0 + -11.0625 = -11.0625
-5X + X2 = -11.0625

The X term is -5X.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5X + 6.25 + X2 = -11.0625 + 6.25

Reorder the terms:
6.25 + -5X + X2 = -11.0625 + 6.25

Combine like terms: -11.0625 + 6.25 = -4.8125
6.25 + -5X + X2 = -4.8125

Factor a perfect square on the left side:
(X + -2.5)(X + -2.5) = -4.8125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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