d(d+1)=(d-3)(d-2)

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Solution for d(d+1)=(d-3)(d-2) equation:


Simplifying
d(d + 1) = (d + -3)(d + -2)

Reorder the terms:
d(1 + d) = (d + -3)(d + -2)
(1 * d + d * d) = (d + -3)(d + -2)
(1d + d2) = (d + -3)(d + -2)

Reorder the terms:
1d + d2 = (-3 + d)(d + -2)

Reorder the terms:
1d + d2 = (-3 + d)(-2 + d)

Multiply (-3 + d) * (-2 + d)
1d + d2 = (-3(-2 + d) + d(-2 + d))
1d + d2 = ((-2 * -3 + d * -3) + d(-2 + d))
1d + d2 = ((6 + -3d) + d(-2 + d))
1d + d2 = (6 + -3d + (-2 * d + d * d))
1d + d2 = (6 + -3d + (-2d + d2))

Combine like terms: -3d + -2d = -5d
1d + d2 = (6 + -5d + d2)

Add '-1d2' to each side of the equation.
1d + d2 + -1d2 = 6 + -5d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
1d + 0 = 6 + -5d + d2 + -1d2
1d = 6 + -5d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
1d = 6 + -5d + 0
1d = 6 + -5d

Solving
1d = 6 + -5d

Solving for variable 'd'.

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

Add '5d' to each side of the equation.
1d + 5d = 6 + -5d + 5d

Combine like terms: 1d + 5d = 6d
6d = 6 + -5d + 5d

Combine like terms: -5d + 5d = 0
6d = 6 + 0
6d = 6

Divide each side by '6'.
d = 1

Simplifying
d = 1

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