(2d^2+3d+4)y=x^2-2x

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Solution for (2d^2+3d+4)y=x^2-2x equation:


Simplifying
(2d2 + 3d + 4) * y = x2 + -2x

Reorder the terms:
(4 + 3d + 2d2) * y = x2 + -2x

Reorder the terms for easier multiplication:
y(4 + 3d + 2d2) = x2 + -2x
(4 * y + 3d * y + 2d2 * y) = x2 + -2x

Reorder the terms:
(3dy + 2d2y + 4y) = x2 + -2x
(3dy + 2d2y + 4y) = x2 + -2x

Reorder the terms:
3dy + 2d2y + 4y = -2x + x2

Solving
3dy + 2d2y + 4y = -2x + x2

Solving for variable 'd'.

Reorder the terms:
3dy + 2d2y + 2x + -1x2 + 4y = -2x + x2 + 2x + -1x2

Reorder the terms:
3dy + 2d2y + 2x + -1x2 + 4y = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
3dy + 2d2y + 2x + -1x2 + 4y = 0 + x2 + -1x2
3dy + 2d2y + 2x + -1x2 + 4y = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
3dy + 2d2y + 2x + -1x2 + 4y = 0

The solution to this equation could not be determined.

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