(11t+6)(5t-8)=0

Solution for (11t+6)(5t-8)=0 equation:

Simplifying
(11t + 6)(5t + -8) = 0

Reorder the terms:
(6 + 11t)(5t + -8) = 0

Reorder the terms:
(6 + 11t)(-8 + 5t) = 0

Multiply (6 + 11t) * (-8 + 5t)
(6(-8 + 5t) + 11t * (-8 + 5t)) = 0
((-8 * 6 + 5t * 6) + 11t * (-8 + 5t)) = 0
((-48 + 30t) + 11t * (-8 + 5t)) = 0
(-48 + 30t + (-8 * 11t + 5t * 11t)) = 0
(-48 + 30t + (-88t + 55t2)) = 0

Combine like terms: 30t + -88t = -58t
(-48 + -58t + 55t2) = 0

Solving
-48 + -58t + 55t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-6 + -11t)(8 + -5t) = 0

Subproblem 1
Set the factor '(-6 + -11t)' equal to zero and attempt to solve:

Simplifying
-6 + -11t = 0

Solving
-6 + -11t = 0

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

Add '6' to each side of the equation.
-6 + 6 + -11t = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -11t = 0 + 6
-11t = 0 + 6

Combine like terms: 0 + 6 = 6
-11t = 6

Divide each side by '-11'.
t = -0.5454545455

Simplifying
t = -0.5454545455
Subproblem 2
Set the factor '(8 + -5t)' equal to zero and attempt to solve:

Simplifying
8 + -5t = 0

Solving
8 + -5t = 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 + -5t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5t = 0 + -8
-5t = 0 + -8

Combine like terms: 0 + -8 = -8
-5t = -8

Divide each side by '-5'.
t = 1.6

Simplifying
t = 1.6
Solution
t = {-0.5454545455, 1.6}