0=16t^2-96t

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Solution for 0=16t^2-96t equation:


Simplifying
0 = 16t2 + -96t

Reorder the terms:
0 = -96t + 16t2

Solving
0 = -96t + 16t2

Solving for variable 't'.
Remove the zero:
96t + -16t2 = -96t + 16t2 + 96t + -16t2

Reorder the terms:
96t + -16t2 = -96t + 96t + 16t2 + -16t2

Combine like terms: -96t + 96t = 0
96t + -16t2 = 0 + 16t2 + -16t2
96t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
96t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '16t'.
16t(6 + -1t) = 0

Ignore the factor 16.

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 '(6 + -1t)' equal to zero and attempt to solve: Simplifying 6 + -1t = 0 Solving 6 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1t = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1t = 0 + -6 -1t = 0 + -6 Combine like terms: 0 + -6 = -6 -1t = -6 Divide each side by '-1'. t = 6 Simplifying t = 6

Solution

t = {0, 6}

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