t(t+2)=143

Solution for t(t+2)=143 equation:

Simplifying
t(t + 2) = 143

Reorder the terms:
t(2 + t) = 143
(2 * t + t * t) = 143
(2t + t2) = 143

Solving
2t + t2 = 143

Solving for variable 't'.

Reorder the terms:
-143 + 2t + t2 = 143 + -143

Combine like terms: 143 + -143 = 0
-143 + 2t + t2 = 0

Factor a trinomial.
(-13 + -1t)(11 + -1t) = 0

Subproblem 1
Set the factor '(-13 + -1t)' equal to zero and attempt to solve:

Simplifying
-13 + -1t = 0

Solving
-13 + -1t = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1t = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1t = 0 + 13
-1t = 0 + 13

Combine like terms: 0 + 13 = 13
-1t = 13

Divide each side by '-1'.
t = -13

Simplifying
t = -13
Subproblem 2
Set the factor '(11 + -1t)' equal to zero and attempt to solve:

Simplifying
11 + -1t = 0

Solving
11 + -1t = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1t = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1t = 0 + -11
-1t = 0 + -11

Combine like terms: 0 + -11 = -11
-1t = -11

Divide each side by '-1'.
t = 11

Simplifying
t = 11
Solution
t = {-13, 11}