18t=27(t-2)fort

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Solution for 18t=27(t-2)fort equation: 


Simplifying
18t = 27(t + -2) * fort

Reorder the terms:
18t = 27(-2 + t) * fort

Reorder the terms for easier multiplication:
18t = 27fort(-2 + t)
18t = (-2 * 27fort + t * 27fort)
18t = (-54fort + 27fort2)

Solving
18t = -54fort + 27fort2

Solving for variable 't'.

Reorder the terms:
54fort + -27fort2 + 18t = -54fort + 27fort2 + 54fort + -27fort2

Reorder the terms:
54fort + -27fort2 + 18t = -54fort + 54fort + 27fort2 + -27fort2

Combine like terms: -54fort + 54fort = 0
54fort + -27fort2 + 18t = 0 + 27fort2 + -27fort2
54fort + -27fort2 + 18t = 27fort2 + -27fort2

Combine like terms: 27fort2 + -27fort2 = 0
54fort + -27fort2 + 18t = 0

Factor out the Greatest Common Factor (GCF), '9t'.
9t(6for + -3fort + 2) = 0

Ignore the factor 9.

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 '(6for + -3fort + 2)' equal to zero and attempt to solve:

Simplifying
6for + -3fort + 2 = 0

Reorder the terms:
2 + 6for + -3fort = 0

Solving
2 + 6for + -3fort = 0

Move all terms containing t to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + 6for + -2 + -3fort = 0 + -2

Reorder the terms:
2 + -2 + 6for + -3fort = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6for + -3fort = 0 + -2
6for + -3fort = 0 + -2

Combine like terms: 0 + -2 = -2
6for + -3fort = -2

Add '-6for' to each side of the equation.
6for + -6for + -3fort = -2 + -6for

Combine like terms: 6for + -6for = 0
0 + -3fort = -2 + -6for
-3fort = -2 + -6for

Divide each side by '-3for'.
t = 0.6666666667f-1o-1r-1 + 2

Simplifying
t = 0.6666666667f-1o-1r-1 + 2

Reorder the terms:
t = 2 + 0.6666666667f-1o-1r-1
Solution
t = {0, 2 + 0.6666666667f-1o-1r-1}

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