0=120t-15t^2

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Solution for 0=120t-15t^2 equation:


Simplifying
0 = 120t + -15t2

Solving
0 = 120t + -15t2

Solving for variable 't'.
Remove the zero:
-120t + 15t2 = 120t + -15t2 + -120t + 15t2

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

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

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

Factor out the Greatest Common Factor (GCF), '15t'.
15t(-8 + t) = 0

Ignore the factor 15.

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 '(-8 + t)' equal to zero and attempt to solve: Simplifying -8 + t = 0 Solving -8 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + t = 0 + 8 Combine like terms: -8 + 8 = 0 0 + t = 0 + 8 t = 0 + 8 Combine like terms: 0 + 8 = 8 t = 8 Simplifying t = 8

Solution

t = {0, 8}

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