I(t)=120t-15t^2

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Solution for I(t)=120t-15t^2 equation: 


Simplifying
I(t) = 120t + -15t2

Multiply I * t
tI = 120t + -15t2

Solving
tI = 120t + -15t2

Solving for variable 't'.

Reorder the terms:
-120t + tI + 15t2 = 120t + -15t2 + -120t + 15t2

Reorder the terms:
-120t + tI + 15t2 = 120t + -120t + -15t2 + 15t2

Combine like terms: 120t + -120t = 0
-120t + tI + 15t2 = 0 + -15t2 + 15t2
-120t + tI + 15t2 = -15t2 + 15t2

Combine like terms: -15t2 + 15t2 = 0
-120t + tI + 15t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-120 + I + 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 '(-120 + I + 15t)' equal to zero and attempt to solve:

Simplifying
-120 + I + 15t = 0

Solving
-120 + I + 15t = 0

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

Add '120' to each side of the equation.
-120 + I + 120 + 15t = 0 + 120

Reorder the terms:
-120 + 120 + I + 15t = 0 + 120

Combine like terms: -120 + 120 = 0
0 + I + 15t = 0 + 120
I + 15t = 0 + 120

Combine like terms: 0 + 120 = 120
I + 15t = 120

Add '-1I' to each side of the equation.
I + -1I + 15t = 120 + -1I

Combine like terms: I + -1I = 0
0 + 15t = 120 + -1I
15t = 120 + -1I

Divide each side by '15'.
t = 8 + -0.06666666667I

Simplifying
t = 8 + -0.06666666667I
Solution
t = {0, 8 + -0.06666666667I}

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