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

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


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

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

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

Multiply (8 + t) * (-15 + t)
(8(-15 + t) + t(-15 + t)) = 0
((-15 * 8 + t * 8) + t(-15 + t)) = 0
((-120 + 8t) + t(-15 + t)) = 0
(-120 + 8t + (-15 * t + t * t)) = 0
(-120 + 8t + (-15t + t2)) = 0

Combine like terms: 8t + -15t = -7t
(-120 + -7t + t2) = 0

Solving
-120 + -7t + t2 = 0

Solving for variable 't'.

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


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

Simplifying
-8 + -1t = 0

Solving
-8 + -1t = 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 + -1t = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1t = 0 + 8
-1t = 0 + 8

Combine like terms: 0 + 8 = 8
-1t = 8

Divide each side by '-1'.
t = -8

Simplifying
t = -8

Subproblem 2
Set the factor '(15 + -1t)' equal to zero and attempt to solve:

Simplifying
15 + -1t = 0

Solving
15 + -1t = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1t = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1t = 0 + -15
-1t = 0 + -15

Combine like terms: 0 + -15 = -15
-1t = -15

Divide each side by '-1'.
t = 15

Simplifying
t = 15
Solution
t = {-8, 15}

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