8-d(d+4)=3d-d(d+2)+5

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Solution for 8-d(d+4)=3d-d(d+2)+5 equation:


Simplifying
8 + -1d(d + 4) = 3d + -1d(d + 2) + 5

Reorder the terms:
8 + -1d(4 + d) = 3d + -1d(d + 2) + 5
8 + (4 * -1d + d * -1d) = 3d + -1d(d + 2) + 5
8 + (-4d + -1d2) = 3d + -1d(d + 2) + 5

Reorder the terms:
8 + -4d + -1d2 = 3d + -1d(2 + d) + 5
8 + -4d + -1d2 = 3d + (2 * -1d + d * -1d) + 5
8 + -4d + -1d2 = 3d + (-2d + -1d2) + 5

Reorder the terms:
8 + -4d + -1d2 = 5 + 3d + -2d + -1d2

Combine like terms: 3d + -2d = 1d
8 + -4d + -1d2 = 5 + 1d + -1d2

Add 'd2' to each side of the equation.
8 + -4d + -1d2 + d2 = 5 + 1d + -1d2 + d2

Combine like terms: -1d2 + d2 = 0
8 + -4d + 0 = 5 + 1d + -1d2 + d2
8 + -4d = 5 + 1d + -1d2 + d2

Combine like terms: -1d2 + d2 = 0
8 + -4d = 5 + 1d + 0
8 + -4d = 5 + 1d

Solving
8 + -4d = 5 + 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.
8 + -4d + -1d = 5 + 1d + -1d

Combine like terms: -4d + -1d = -5d
8 + -5d = 5 + 1d + -1d

Combine like terms: 1d + -1d = 0
8 + -5d = 5 + 0
8 + -5d = 5

Add '-8' to each side of the equation.
8 + -8 + -5d = 5 + -8

Combine like terms: 8 + -8 = 0
0 + -5d = 5 + -8
-5d = 5 + -8

Combine like terms: 5 + -8 = -3
-5d = -3

Divide each side by '-5'.
d = 0.6

Simplifying
d = 0.6

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