t(t-9)+8(t-9)=

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

Simplifying
t(t + -9) + 8(t + -9) = 0

Reorder the terms:
t(-9 + t) + 8(t + -9) = 0
(-9 * t + t * t) + 8(t + -9) = 0
(-9t + t2) + 8(t + -9) = 0

Reorder the terms:
-9t + t2 + 8(-9 + t) = 0
-9t + t2 + (-9 * 8 + t * 8) = 0
-9t + t2 + (-72 + 8t) = 0

Reorder the terms:
-72 + -9t + 8t + t2 = 0

Combine like terms: -9t + 8t = -1t
-72 + -1t + t2 = 0

Solving
-72 + -1t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-8 + -1t)(9 + -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 '(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 = {-8, 9}