0=12t-5t^2

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Solution for 0=12t-5t^2 equation:


Simplifying
0 = 12t + -5t2

Solving
0 = 12t + -5t2

Solving for variable 't'.
Remove the zero:
-12t + 5t2 = 12t + -5t2 + -12t + 5t2

Reorder the terms:
-12t + 5t2 = 12t + -12t + -5t2 + 5t2

Combine like terms: 12t + -12t = 0
-12t + 5t2 = 0 + -5t2 + 5t2
-12t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
-12t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-12 + 5t) = 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 '(-12 + 5t)' equal to zero and attempt to solve: Simplifying -12 + 5t = 0 Solving -12 + 5t = 0 Move all terms containing t to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5t = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 5t = 0 + 12 5t = 0 + 12 Combine like terms: 0 + 12 = 12 5t = 12 Divide each side by '5'. t = 2.4 Simplifying t = 2.4

Solution

t = {0, 2.4}

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