t(t-26)=-160

Solution for t(t-26)=-160 equation:

Simplifying
t(t + -26) = -160

Reorder the terms:
t(-26 + t) = -160
(-26 * t + t * t) = -160
(-26t + t2) = -160

Solving
-26t + t2 = -160

Solving for variable 't'.

Reorder the terms:
160 + -26t + t2 = -160 + 160

Combine like terms: -160 + 160 = 0
160 + -26t + t2 = 0

Factor a trinomial.
(10 + -1t)(16 + -1t) = 0

Subproblem 1
Set the factor '(10 + -1t)' equal to zero and attempt to solve:

Simplifying
10 + -1t = 0

Solving
10 + -1t = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1t = 0 + -10
-1t = 0 + -10

Combine like terms: 0 + -10 = -10
-1t = -10

Divide each side by '-1'.
t = 10

Simplifying
t = 10
Subproblem 2
Set the factor '(16 + -1t)' equal to zero and attempt to solve:

Simplifying
16 + -1t = 0

Solving
16 + -1t = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1t = 0 + -16
-1t = 0 + -16

Combine like terms: 0 + -16 = -16
-1t = -16

Divide each side by '-1'.
t = 16

Simplifying
t = 16
Solution
t = {10, 16}