9=t(t-8)

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

Simplifying
9 = t(t + -8)

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

Solving
9 = -8t + t2

Solving for variable 't'.

Reorder the terms:
9 + 8t + -1t2 = -8t + 8t + t2 + -1t2

Combine like terms: -8t + 8t = 0
9 + 8t + -1t2 = 0 + t2 + -1t2
9 + 8t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
9 + 8t + -1t2 = 0

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

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

Simplifying
1 + t = 0

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

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

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

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