0=12t^2-18t

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Solution for 0=12t^2-18t equation:


Simplifying
0 = 12t2 + -18t

Reorder the terms:
0 = -18t + 12t2

Solving
0 = -18t + 12t2

Solving for variable 't'.
Remove the zero:
18t + -12t2 = -18t + 12t2 + 18t + -12t2

Reorder the terms:
18t + -12t2 = -18t + 18t + 12t2 + -12t2

Combine like terms: -18t + 18t = 0
18t + -12t2 = 0 + 12t2 + -12t2
18t + -12t2 = 12t2 + -12t2

Combine like terms: 12t2 + -12t2 = 0
18t + -12t2 = 0

Factor out the Greatest Common Factor (GCF), '6t'.
6t(3 + -2t) = 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 '(3 + -2t)' equal to zero and attempt to solve: Simplifying 3 + -2t = 0 Solving 3 + -2t = 0 Move all terms containing t to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2t = 0 + -3 -2t = 0 + -3 Combine like terms: 0 + -3 = -3 -2t = -3 Divide each side by '-2'. t = 1.5 Simplifying t = 1.5

Solution

t = {0, 1.5}

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