-15(t-2)(t-8)=0

Solution for -15(t-2)(t-8)=0 equation:

Simplifying
-15(t + -2)(t + -8) = 0

Reorder the terms:
-15(-2 + t)(t + -8) = 0

Reorder the terms:
-15(-2 + t)(-8 + t) = 0

Multiply (-2 + t) * (-8 + t)
-15(-2(-8 + t) + t(-8 + t)) = 0
-15((-8 * -2 + t * -2) + t(-8 + t)) = 0
-15((16 + -2t) + t(-8 + t)) = 0
-15(16 + -2t + (-8 * t + t * t)) = 0
-15(16 + -2t + (-8t + t2)) = 0

Combine like terms: -2t + -8t = -10t
-15(16 + -10t + t2) = 0
(16 * -15 + -10t * -15 + t2 * -15) = 0
(-240 + 150t + -15t2) = 0

Solving
-240 + 150t + -15t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '15'.
15(-16 + 10t + -1t2) = 0

Factor a trinomial.
15((-8 + t)(2 + -1t)) = 0

Ignore the factor 15.
Subproblem 1
Set the factor '(-8 + t)' equal to zero and attempt to solve:

Simplifying
-8 + t = 0

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

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

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

Simplifying
t = 8
Subproblem 2
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Solution
t = {8, 2}