27=t^2+6t

Solution for 27=t^2+6t equation:

Simplifying
27 = t2 + 6t

Reorder the terms:
27 = 6t + t2

Solving
27 = 6t + t2

Solving for variable 't'.

Reorder the terms:
27 + -6t + -1t2 = 6t + -6t + t2 + -1t2

Combine like terms: 6t + -6t = 0
27 + -6t + -1t2 = 0 + t2 + -1t2
27 + -6t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
27 + -6t + -1t2 = 0

Factor a trinomial.
(3 + -1t)(9 + t) = 0

Subproblem 1
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

Solving
3 + -1t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Subproblem 2
Set the factor '(9 + t)' equal to zero and attempt to solve:

Simplifying
9 + t = 0

Solving
9 + t = 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 + t = 0 + -9

Combine like terms: 9 + -9 = 0
0 + t = 0 + -9
t = 0 + -9

Combine like terms: 0 + -9 = -9
t = -9

Simplifying
t = -9
Solution
t = {3, -9}