3d+d^2=11d

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Solution for 3d+d^2=11d equation: 


Simplifying
3d + d2 = 11d

Solving
3d + d2 = 11d

Solving for variable 'd'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'd'.
d(-8 + d) = 0


Subproblem 1
Set the factor 'd' equal to zero and attempt to solve:

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(-8 + d)' equal to zero and attempt to solve:

Simplifying
-8 + d = 0

Solving
-8 + d = 0

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

Add '8' to each side of the equation.
-8 + 8 + d = 0 + 8

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

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

Simplifying
d = 8
Solution
d = {0, 8}

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