(d^2+5d+4)y=x^2+7x+9

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Solution for (d^2+5d+4)y=x^2+7x+9 equation:


Simplifying
(d2 + 5d + 4) * y = x2 + 7x + 9

Reorder the terms:
(4 + 5d + d2) * y = x2 + 7x + 9

Reorder the terms for easier multiplication:
y(4 + 5d + d2) = x2 + 7x + 9
(4 * y + 5d * y + d2 * y) = x2 + 7x + 9

Reorder the terms:
(5dy + d2y + 4y) = x2 + 7x + 9
(5dy + d2y + 4y) = x2 + 7x + 9

Reorder the terms:
5dy + d2y + 4y = 9 + 7x + x2

Solving
5dy + d2y + 4y = 9 + 7x + x2

Solving for variable 'd'.

Reorder the terms:
-9 + 5dy + d2y + -7x + -1x2 + 4y = 9 + 7x + x2 + -9 + -7x + -1x2

Reorder the terms:
-9 + 5dy + d2y + -7x + -1x2 + 4y = 9 + -9 + 7x + -7x + x2 + -1x2

Combine like terms: 9 + -9 = 0
-9 + 5dy + d2y + -7x + -1x2 + 4y = 0 + 7x + -7x + x2 + -1x2
-9 + 5dy + d2y + -7x + -1x2 + 4y = 7x + -7x + x2 + -1x2

Combine like terms: 7x + -7x = 0
-9 + 5dy + d2y + -7x + -1x2 + 4y = 0 + x2 + -1x2
-9 + 5dy + d2y + -7x + -1x2 + 4y = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-9 + 5dy + d2y + -7x + -1x2 + 4y = 0

The solution to this equation could not be determined.

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