t^2+7t=60

Solution for t^2+7t=60 equation:

Simplifying
t2 + 7t = 60

Reorder the terms:
7t + t2 = 60

Solving
7t + t2 = 60

Solving for variable 't'.

Reorder the terms:
-60 + 7t + t2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 7t + t2 = 0

Factor a trinomial.
(-12 + -1t)(5 + -1t) = 0

Subproblem 1
Set the factor '(-12 + -1t)' equal to zero and attempt to solve:

Simplifying
-12 + -1t = 0

Solving
-12 + -1t = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1t = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1t = 0 + 12
-1t = 0 + 12

Combine like terms: 0 + 12 = 12
-1t = 12

Divide each side by '-1'.
t = -12

Simplifying
t = -12
Subproblem 2
Set the factor '(5 + -1t)' equal to zero and attempt to solve:

Simplifying
5 + -1t = 0

Solving
5 + -1t = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t = 0 + -5
-1t = 0 + -5

Combine like terms: 0 + -5 = -5
-1t = -5

Divide each side by '-1'.
t = 5

Simplifying
t = 5
Solution
t = {-12, 5}