5d-24+d(d)-65-3(d-2)=(d+3)(d+3)

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Solution for 5d-24+d(d)-65-3(d-2)=(d+3)(d+3) equation: 


Simplifying
5d + -24 + d(d) + -65 + -3(d + -2) = (d + 3)(d + 3)

Multiply d * d
5d + -24 + d2 + -65 + -3(d + -2) = (d + 3)(d + 3)

Reorder the terms:
5d + -24 + d2 + -65 + -3(-2 + d) = (d + 3)(d + 3)
5d + -24 + d2 + -65 + (-2 * -3 + d * -3) = (d + 3)(d + 3)
5d + -24 + d2 + -65 + (6 + -3d) = (d + 3)(d + 3)

Reorder the terms:
-24 + -65 + 6 + 5d + -3d + d2 = (d + 3)(d + 3)

Combine like terms: -24 + -65 = -89
-89 + 6 + 5d + -3d + d2 = (d + 3)(d + 3)

Combine like terms: -89 + 6 = -83
-83 + 5d + -3d + d2 = (d + 3)(d + 3)

Combine like terms: 5d + -3d = 2d
-83 + 2d + d2 = (d + 3)(d + 3)

Reorder the terms:
-83 + 2d + d2 = (3 + d)(d + 3)

Reorder the terms:
-83 + 2d + d2 = (3 + d)(3 + d)

Multiply (3 + d) * (3 + d)
-83 + 2d + d2 = (3(3 + d) + d(3 + d))
-83 + 2d + d2 = ((3 * 3 + d * 3) + d(3 + d))
-83 + 2d + d2 = ((9 + 3d) + d(3 + d))
-83 + 2d + d2 = (9 + 3d + (3 * d + d * d))
-83 + 2d + d2 = (9 + 3d + (3d + d2))

Combine like terms: 3d + 3d = 6d
-83 + 2d + d2 = (9 + 6d + d2)

Add '-1d2' to each side of the equation.
-83 + 2d + d2 + -1d2 = 9 + 6d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-83 + 2d + 0 = 9 + 6d + d2 + -1d2
-83 + 2d = 9 + 6d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-83 + 2d = 9 + 6d + 0
-83 + 2d = 9 + 6d

Solving
-83 + 2d = 9 + 6d

Solving for variable 'd'.

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

Add '-6d' to each side of the equation.
-83 + 2d + -6d = 9 + 6d + -6d

Combine like terms: 2d + -6d = -4d
-83 + -4d = 9 + 6d + -6d

Combine like terms: 6d + -6d = 0
-83 + -4d = 9 + 0
-83 + -4d = 9

Add '83' to each side of the equation.
-83 + 83 + -4d = 9 + 83

Combine like terms: -83 + 83 = 0
0 + -4d = 9 + 83
-4d = 9 + 83

Combine like terms: 9 + 83 = 92
-4d = 92

Divide each side by '-4'.
d = -23

Simplifying
d = -23

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