(11t+5)(6t-18)=0

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Solution for (11t+5)(6t-18)=0 equation: 


Simplifying
(11t + 5)(6t + -18) = 0

Reorder the terms:
(5 + 11t)(6t + -18) = 0

Reorder the terms:
(5 + 11t)(-18 + 6t) = 0

Multiply (5 + 11t) * (-18 + 6t)
(5(-18 + 6t) + 11t * (-18 + 6t)) = 0
((-18 * 5 + 6t * 5) + 11t * (-18 + 6t)) = 0
((-90 + 30t) + 11t * (-18 + 6t)) = 0
(-90 + 30t + (-18 * 11t + 6t * 11t)) = 0
(-90 + 30t + (-198t + 66t2)) = 0

Combine like terms: 30t + -198t = -168t
(-90 + -168t + 66t2) = 0

Solving
-90 + -168t + 66t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-15 + -28t + 11t2) = 0

Factor a trinomial.
6((-5 + -11t)(3 + -1t)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-5 + -11t)' equal to zero and attempt to solve:

Simplifying
-5 + -11t = 0

Solving
-5 + -11t = 0

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

Add '5' to each side of the equation.
-5 + 5 + -11t = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11t = 0 + 5
-11t = 0 + 5

Combine like terms: 0 + 5 = 5
-11t = 5

Divide each side by '-11'.
t = -0.4545454545

Simplifying
t = -0.4545454545

Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 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 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {-0.4545454545, 3}

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