t(t-8)=9

Solution for t(t-8)=9 equation:

Simplifying
t(t + -8) = 9

Reorder the terms:
t(-8 + t) = 9
(-8 * t + t * t) = 9
(-8t + t2) = 9

Solving
-8t + t2 = 9

Solving for variable 't'.

Reorder the terms:
-9 + -8t + t2 = 9 + -9

Combine like terms: 9 + -9 = 0
-9 + -8t + t2 = 0

Factor a trinomial.
(-1 + -1t)(9 + -1t) = 0

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

Simplifying
-1 + -1t = 0

Solving
-1 + -1t = 0

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

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

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

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

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

Simplifying
t = -1
Subproblem 2
Set the factor '(9 + -1t)' equal to zero and attempt to solve:

Simplifying
9 + -1t = 0

Solving
9 + -1t = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1t = 0 + -9
-1t = 0 + -9

Combine like terms: 0 + -9 = -9
-1t = -9

Divide each side by '-1'.
t = 9

Simplifying
t = 9
Solution
t = {-1, 9}