0=3t^2-12t

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Solution for 0=3t^2-12t equation:


Simplifying
0 = 3t2 + -12t

Reorder the terms:
0 = -12t + 3t2

Solving
0 = -12t + 3t2

Solving for variable 't'.
Remove the zero:
12t + -3t2 = -12t + 3t2 + 12t + -3t2

Reorder the terms:
12t + -3t2 = -12t + 12t + 3t2 + -3t2

Combine like terms: -12t + 12t = 0
12t + -3t2 = 0 + 3t2 + -3t2
12t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
12t + -3t2 = 0

Factor out the Greatest Common Factor (GCF), '3t'.
3t(4 + -1t) = 0

Ignore the factor 3.

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 '(4 + -1t)' equal to zero and attempt to solve: Simplifying 4 + -1t = 0 Solving 4 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1t = 0 + -4 -1t = 0 + -4 Combine like terms: 0 + -4 = -4 -1t = -4 Divide each side by '-1'. t = 4 Simplifying t = 4

Solution

t = {0, 4}

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