16x^2+40x+560=x

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Solution for 16x^2+40x+560=x equation:


Simplifying
16x2 + 40x + 560 = x

Reorder the terms:
560 + 40x + 16x2 = x

Solving
560 + 40x + 16x2 = x

Solving for variable 'x'.

Reorder the terms:
560 + 40x + -1x + 16x2 = x + -1x

Combine like terms: 40x + -1x = 39x
560 + 39x + 16x2 = x + -1x

Combine like terms: x + -1x = 0
560 + 39x + 16x2 = 0

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

Divide each side by '16'.
35 + 2.4375x + x2 = 0

Move the constant term to the right:

Add '-35' to each side of the equation.
35 + 2.4375x + -35 + x2 = 0 + -35

Reorder the terms:
35 + -35 + 2.4375x + x2 = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 2.4375x + x2 = 0 + -35
2.4375x + x2 = 0 + -35

Combine like terms: 0 + -35 = -35
2.4375x + x2 = -35

The x term is 2.4375x.  Take half its coefficient (1.21875).
Square it (1.485351563) and add it to both sides.

Add '1.485351563' to each side of the equation.
2.4375x + 1.485351563 + x2 = -35 + 1.485351563

Reorder the terms:
1.485351563 + 2.4375x + x2 = -35 + 1.485351563

Combine like terms: -35 + 1.485351563 = -33.514648437
1.485351563 + 2.4375x + x2 = -33.514648437

Factor a perfect square on the left side:
(x + 1.21875)(x + 1.21875) = -33.514648437

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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