(11t+8)(3t-9)=0

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Solution for (11t+8)(3t-9)=0 equation: 


Simplifying
(11t + 8)(3t + -9) = 0

Reorder the terms:
(8 + 11t)(3t + -9) = 0

Reorder the terms:
(8 + 11t)(-9 + 3t) = 0

Multiply (8 + 11t) * (-9 + 3t)
(8(-9 + 3t) + 11t * (-9 + 3t)) = 0
((-9 * 8 + 3t * 8) + 11t * (-9 + 3t)) = 0
((-72 + 24t) + 11t * (-9 + 3t)) = 0
(-72 + 24t + (-9 * 11t + 3t * 11t)) = 0
(-72 + 24t + (-99t + 33t2)) = 0

Combine like terms: 24t + -99t = -75t
(-72 + -75t + 33t2) = 0

Solving
-72 + -75t + 33t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-24 + -25t + 11t2) = 0

Factor a trinomial.
3((-8 + -11t)(3 + -1t)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-8 + -11t)' equal to zero and attempt to solve:

Simplifying
-8 + -11t = 0

Solving
-8 + -11t = 0

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

Add '8' to each side of the equation.
-8 + 8 + -11t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -11t = 0 + 8
-11t = 0 + 8

Combine like terms: 0 + 8 = 8
-11t = 8

Divide each side by '-11'.
t = -0.7272727273

Simplifying
t = -0.7272727273

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 = {-0.7272727273, 3}

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