D(t)=17t^2-150t

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Solution for D(t)=17t^2-150t equation: 


Simplifying
D(t) = 17t2 + -150t

Multiply D * t
tD = 17t2 + -150t

Reorder the terms:
tD = -150t + 17t2

Solving
tD = -150t + 17t2

Solving for variable 't'.

Reorder the terms:
150t + tD + -17t2 = -150t + 17t2 + 150t + -17t2

Reorder the terms:
150t + tD + -17t2 = -150t + 150t + 17t2 + -17t2

Combine like terms: -150t + 150t = 0
150t + tD + -17t2 = 0 + 17t2 + -17t2
150t + tD + -17t2 = 17t2 + -17t2

Combine like terms: 17t2 + -17t2 = 0
150t + tD + -17t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(150 + D + -17t) = 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 '(150 + D + -17t)' equal to zero and attempt to solve:

Simplifying
150 + D + -17t = 0

Solving
150 + D + -17t = 0

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

Add '-150' to each side of the equation.
150 + D + -150 + -17t = 0 + -150

Reorder the terms:
150 + -150 + D + -17t = 0 + -150

Combine like terms: 150 + -150 = 0
0 + D + -17t = 0 + -150
D + -17t = 0 + -150

Combine like terms: 0 + -150 = -150
D + -17t = -150

Add '-1D' to each side of the equation.
D + -1D + -17t = -150 + -1D

Combine like terms: D + -1D = 0
0 + -17t = -150 + -1D
-17t = -150 + -1D

Divide each side by '-17'.
t = 8.823529412 + 0.05882352941D

Simplifying
t = 8.823529412 + 0.05882352941D
Solution
t = {0, 8.823529412 + 0.05882352941D}

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