(d^2+7d+17)y=0

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Solution for (d^2+7d+17)y=0 equation: 


Simplifying
(d2 + 7d + 17) * y = 0

Reorder the terms:
(17 + 7d + d2) * y = 0

Reorder the terms for easier multiplication:
y(17 + 7d + d2) = 0
(17 * y + 7d * y + d2 * y) = 0

Reorder the terms:
(7dy + d2y + 17y) = 0
(7dy + d2y + 17y) = 0

Solving
7dy + d2y + 17y = 0

Solving for variable 'd'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(7d + d2 + 17) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing d to the left, all other terms to the right.

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(7d + d2 + 17)' equal to zero and attempt to solve:

Simplifying
7d + d2 + 17 = 0

Reorder the terms:
17 + 7d + d2 = 0

Solving
17 + 7d + d2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + 7d + -17 + d2 = 0 + -17

Reorder the terms:
17 + -17 + 7d + d2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + 7d + d2 = 0 + -17
7d + d2 = 0 + -17

Combine like terms: 0 + -17 = -17
7d + d2 = -17

The d term is 7d.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7d + 12.25 + d2 = -17 + 12.25

Reorder the terms:
12.25 + 7d + d2 = -17 + 12.25

Combine like terms: -17 + 12.25 = -4.75
12.25 + 7d + d2 = -4.75

Factor a perfect square on the left side:
(d + 3.5)(d + 3.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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