D(t)=15t^2-130t

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Solution for D(t)=15t^2-130t equation: 


Simplifying
D(t) = 15t2 + -130t

Multiply D * t
tD = 15t2 + -130t

Reorder the terms:
tD = -130t + 15t2

Solving
tD = -130t + 15t2

Solving for variable 't'.

Reorder the terms:
130t + tD + -15t2 = -130t + 15t2 + 130t + -15t2

Reorder the terms:
130t + tD + -15t2 = -130t + 130t + 15t2 + -15t2

Combine like terms: -130t + 130t = 0
130t + tD + -15t2 = 0 + 15t2 + -15t2
130t + tD + -15t2 = 15t2 + -15t2

Combine like terms: 15t2 + -15t2 = 0
130t + tD + -15t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(130 + D + -15t) = 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 '(130 + D + -15t)' equal to zero and attempt to solve:

Simplifying
130 + D + -15t = 0

Solving
130 + D + -15t = 0

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

Add '-130' to each side of the equation.
130 + D + -130 + -15t = 0 + -130

Reorder the terms:
130 + -130 + D + -15t = 0 + -130

Combine like terms: 130 + -130 = 0
0 + D + -15t = 0 + -130
D + -15t = 0 + -130

Combine like terms: 0 + -130 = -130
D + -15t = -130

Add '-1D' to each side of the equation.
D + -1D + -15t = -130 + -1D

Combine like terms: D + -1D = 0
0 + -15t = -130 + -1D
-15t = -130 + -1D

Divide each side by '-15'.
t = 8.666666667 + 0.06666666667D

Simplifying
t = 8.666666667 + 0.06666666667D
Solution
t = {0, 8.666666667 + 0.06666666667D}

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