(11t+8)(3t-5)=0

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Solution for (11t+8)(3t-5)=0 equation: 


Simplifying
(11t + 8)(3t + -5) = 0

Reorder the terms:
(8 + 11t)(3t + -5) = 0

Reorder the terms:
(8 + 11t)(-5 + 3t) = 0

Multiply (8 + 11t) * (-5 + 3t)
(8(-5 + 3t) + 11t * (-5 + 3t)) = 0
((-5 * 8 + 3t * 8) + 11t * (-5 + 3t)) = 0
((-40 + 24t) + 11t * (-5 + 3t)) = 0
(-40 + 24t + (-5 * 11t + 3t * 11t)) = 0
(-40 + 24t + (-55t + 33t2)) = 0

Combine like terms: 24t + -55t = -31t
(-40 + -31t + 33t2) = 0

Solving
-40 + -31t + 33t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-8 + -11t)(5 + -3t) = 0


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 '(5 + -3t)' equal to zero and attempt to solve:

Simplifying
5 + -3t = 0

Solving
5 + -3t = 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 + -3t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3t = 0 + -5
-3t = 0 + -5

Combine like terms: 0 + -5 = -5
-3t = -5

Divide each side by '-3'.
t = 1.666666667

Simplifying
t = 1.666666667
Solution
t = {-0.7272727273, 1.666666667}

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