d(d-1)+4d=d(d-8)+11

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Solution for d(d-1)+4d=d(d-8)+11 equation:


Simplifying
d(d + -1) + 4d = d(d + -8) + 11

Reorder the terms:
d(-1 + d) + 4d = d(d + -8) + 11
(-1 * d + d * d) + 4d = d(d + -8) + 11
(-1d + d2) + 4d = d(d + -8) + 11

Reorder the terms:
-1d + 4d + d2 = d(d + -8) + 11

Combine like terms: -1d + 4d = 3d
3d + d2 = d(d + -8) + 11

Reorder the terms:
3d + d2 = d(-8 + d) + 11
3d + d2 = (-8 * d + d * d) + 11
3d + d2 = (-8d + d2) + 11

Reorder the terms:
3d + d2 = 11 + -8d + d2

Add '-1d2' to each side of the equation.
3d + d2 + -1d2 = 11 + -8d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
3d + 0 = 11 + -8d + d2 + -1d2
3d = 11 + -8d + d2 + -1d2

Combine like terms: d2 + -1d2 = 0
3d = 11 + -8d + 0
3d = 11 + -8d

Solving
3d = 11 + -8d

Solving for variable 'd'.

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

Add '8d' to each side of the equation.
3d + 8d = 11 + -8d + 8d

Combine like terms: 3d + 8d = 11d
11d = 11 + -8d + 8d

Combine like terms: -8d + 8d = 0
11d = 11 + 0
11d = 11

Divide each side by '11'.
d = 1

Simplifying
d = 1

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