0=-16x^2+35x-80

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


Simplifying
0 = -16x2 + 35x + -80

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

Solving
0 = -80 + 35x + -16x2

Solving for variable 'x'.

Combine like terms: 0 + 80 = 80
80 + -35x + 16x2 = -80 + 35x + -16x2 + 80 + -35x + 16x2

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

Combine like terms: -80 + 80 = 0
80 + -35x + 16x2 = 0 + 35x + -35x + -16x2 + 16x2
80 + -35x + 16x2 = 35x + -35x + -16x2 + 16x2

Combine like terms: 35x + -35x = 0
80 + -35x + 16x2 = 0 + -16x2 + 16x2
80 + -35x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
80 + -35x + 16x2 = 0

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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