16x^2-35x+80=0

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Solution for 16x^2-35x+80=0 equation:


Simplifying
16x2 + -35x + 80 = 0

Reorder the terms:
80 + -35x + 16x2 = 0

Solving
80 + -35x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
5 + -2.1875x + x2 = 0

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -2.1875x + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + -2.1875x + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2.1875x + x2 = 0 + -5
-2.1875x + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
-2.1875x + x2 = -5

The x term is -2.1875x.  Take half its coefficient (-1.09375).
Square it (1.196289063) and add it to both sides.

Add '1.196289063' to each side of the equation.
-2.1875x + 1.196289063 + x2 = -5 + 1.196289063

Reorder the terms:
1.196289063 + -2.1875x + x2 = -5 + 1.196289063

Combine like terms: -5 + 1.196289063 = -3.803710937
1.196289063 + -2.1875x + x2 = -3.803710937

Factor a perfect square on the left side:
(x + -1.09375)(x + -1.09375) = -3.803710937

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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