D(t)=11t^2-110t

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Solution for D(t)=11t^2-110t equation: 


Simplifying
D(t) = 11t2 + -110t

Multiply D * t
tD = 11t2 + -110t

Reorder the terms:
tD = -110t + 11t2

Solving
tD = -110t + 11t2

Solving for variable 't'.

Reorder the terms:
110t + tD + -11t2 = -110t + 11t2 + 110t + -11t2

Reorder the terms:
110t + tD + -11t2 = -110t + 110t + 11t2 + -11t2

Combine like terms: -110t + 110t = 0
110t + tD + -11t2 = 0 + 11t2 + -11t2
110t + tD + -11t2 = 11t2 + -11t2

Combine like terms: 11t2 + -11t2 = 0
110t + tD + -11t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(110 + D + -11t) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0

Subproblem 2
Set the factor '(110 + D + -11t)' equal to zero and attempt to solve:

Simplifying
110 + D + -11t = 0

Solving
110 + D + -11t = 0

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

Add '-110' to each side of the equation.
110 + D + -110 + -11t = 0 + -110

Reorder the terms:
110 + -110 + D + -11t = 0 + -110

Combine like terms: 110 + -110 = 0
0 + D + -11t = 0 + -110
D + -11t = 0 + -110

Combine like terms: 0 + -110 = -110
D + -11t = -110

Add '-1D' to each side of the equation.
D + -1D + -11t = -110 + -1D

Combine like terms: D + -1D = 0
0 + -11t = -110 + -1D
-11t = -110 + -1D

Divide each side by '-11'.
t = 10 + 0.09090909091D

Simplifying
t = 10 + 0.09090909091D
Solution
t = {0, 10 + 0.09090909091D}

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