0=24t^2-66t

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Solution for 0=24t^2-66t equation:


Simplifying
0 = 24t2 + -66t

Reorder the terms:
0 = -66t + 24t2

Solving
0 = -66t + 24t2

Solving for variable 't'.
Remove the zero:
66t + -24t2 = -66t + 24t2 + 66t + -24t2

Reorder the terms:
66t + -24t2 = -66t + 66t + 24t2 + -24t2

Combine like terms: -66t + 66t = 0
66t + -24t2 = 0 + 24t2 + -24t2
66t + -24t2 = 24t2 + -24t2

Combine like terms: 24t2 + -24t2 = 0
66t + -24t2 = 0

Factor out the Greatest Common Factor (GCF), '6t'.
6t(11 + -4t) = 0

Ignore the factor 6.

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 '(11 + -4t)' equal to zero and attempt to solve: Simplifying 11 + -4t = 0 Solving 11 + -4t = 0 Move all terms containing t to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -4t = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -4t = 0 + -11 -4t = 0 + -11 Combine like terms: 0 + -11 = -11 -4t = -11 Divide each side by '-4'. t = 2.75 Simplifying t = 2.75

Solution

t = {0, 2.75}

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