t*(t+8)=4473

Solution for t*(t+8)=4473 equation:

Simplifying
t(t + 8) = 4473

Reorder the terms:
t(8 + t) = 4473
(8 * t + t * t) = 4473
(8t + t2) = 4473

Solving
8t + t2 = 4473

Solving for variable 't'.

Reorder the terms:
-4473 + 8t + t2 = 4473 + -4473

Combine like terms: 4473 + -4473 = 0
-4473 + 8t + t2 = 0

Factor a trinomial.
(-71 + -1t)(63 + -1t) = 0

Subproblem 1
Set the factor '(-71 + -1t)' equal to zero and attempt to solve:

Simplifying
-71 + -1t = 0

Solving
-71 + -1t = 0

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

Add '71' to each side of the equation.
-71 + 71 + -1t = 0 + 71

Combine like terms: -71 + 71 = 0
0 + -1t = 0 + 71
-1t = 0 + 71

Combine like terms: 0 + 71 = 71
-1t = 71

Divide each side by '-1'.
t = -71

Simplifying
t = -71
Subproblem 2
Set the factor '(63 + -1t)' equal to zero and attempt to solve:

Simplifying
63 + -1t = 0

Solving
63 + -1t = 0

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

Add '-63' to each side of the equation.
63 + -63 + -1t = 0 + -63

Combine like terms: 63 + -63 = 0
0 + -1t = 0 + -63
-1t = 0 + -63

Combine like terms: 0 + -63 = -63
-1t = -63

Divide each side by '-1'.
t = 63

Simplifying
t = 63
Solution
t = {-71, 63}