(d+2)(d+6)-y(y+5)=24

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Solution for (d+2)(d+6)-y(y+5)=24 equation: 


Simplifying
(d + 2)(d + 6) + -1y(y + 5) = 24

Reorder the terms:
(2 + d)(d + 6) + -1y(y + 5) = 24

Reorder the terms:
(2 + d)(6 + d) + -1y(y + 5) = 24

Multiply (2 + d) * (6 + d)
(2(6 + d) + d(6 + d)) + -1y(y + 5) = 24
((6 * 2 + d * 2) + d(6 + d)) + -1y(y + 5) = 24
((12 + 2d) + d(6 + d)) + -1y(y + 5) = 24
(12 + 2d + (6 * d + d * d)) + -1y(y + 5) = 24
(12 + 2d + (6d + d2)) + -1y(y + 5) = 24

Combine like terms: 2d + 6d = 8d
(12 + 8d + d2) + -1y(y + 5) = 24

Reorder the terms:
12 + 8d + d2 + -1y(5 + y) = 24
12 + 8d + d2 + (5 * -1y + y * -1y) = 24
12 + 8d + d2 + (-5y + -1y2) = 24

Solving
12 + 8d + d2 + -5y + -1y2 = 24

Solving for variable 'd'.

Reorder the terms:
12 + -24 + 8d + d2 + -5y + -1y2 = 24 + -24

Combine like terms: 12 + -24 = -12
-12 + 8d + d2 + -5y + -1y2 = 24 + -24

Combine like terms: 24 + -24 = 0
-12 + 8d + d2 + -5y + -1y2 = 0

The solution to this equation could not be determined.

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