3(d-4)+d(d+4)=d(d+1)

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Solution for 3(d-4)+d(d+4)=d(d+1) equation:


Simplifying
3(d + -4) + d(d + 4) = d(d + 1)

Reorder the terms:
3(-4 + d) + d(d + 4) = d(d + 1)
(-4 * 3 + d * 3) + d(d + 4) = d(d + 1)
(-12 + 3d) + d(d + 4) = d(d + 1)

Reorder the terms:
-12 + 3d + d(4 + d) = d(d + 1)
-12 + 3d + (4 * d + d * d) = d(d + 1)
-12 + 3d + (4d + d2) = d(d + 1)

Combine like terms: 3d + 4d = 7d
-12 + 7d + d2 = d(d + 1)

Reorder the terms:
-12 + 7d + d2 = d(1 + d)
-12 + 7d + d2 = (1 * d + d * d)
-12 + 7d + d2 = (1d + d2)

Add '-1d2' to each side of the equation.
-12 + 7d + d2 + -1d2 = 1d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-12 + 7d + 0 = 1d + d2 + -1d2
-12 + 7d = 1d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
-12 + 7d = 1d + 0
-12 + 7d = 1d

Solving
-12 + 7d = 1d

Solving for variable 'd'.

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

Add '-1d' to each side of the equation.
-12 + 7d + -1d = 1d + -1d

Combine like terms: 7d + -1d = 6d
-12 + 6d = 1d + -1d

Combine like terms: 1d + -1d = 0
-12 + 6d = 0

Add '12' to each side of the equation.
-12 + 12 + 6d = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 6d = 0 + 12
6d = 0 + 12

Combine like terms: 0 + 12 = 12
6d = 12

Divide each side by '6'.
d = 2

Simplifying
d = 2

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