0=700+15t-t^2

Solution for 0=700+15t-t^2 equation:

Simplifying
0 = 700 + 15t + -1t2

Solving
0 = 700 + 15t + -1t2

Solving for variable 't'.

Combine like terms: 0 + -700 = -700
-700 + -15t + t2 = 700 + 15t + -1t2 + -700 + -15t + t2

Reorder the terms:
-700 + -15t + t2 = 700 + -700 + 15t + -15t + -1t2 + t2

Combine like terms: 700 + -700 = 0
-700 + -15t + t2 = 0 + 15t + -15t + -1t2 + t2
-700 + -15t + t2 = 15t + -15t + -1t2 + t2

Combine like terms: 15t + -15t = 0
-700 + -15t + t2 = 0 + -1t2 + t2
-700 + -15t + t2 = -1t2 + t2

Combine like terms: -1t2 + t2 = 0
-700 + -15t + t2 = 0

Factor a trinomial.
(-20 + -1t)(35 + -1t) = 0

Subproblem 1
Set the factor '(-20 + -1t)' equal to zero and attempt to solve:

Simplifying
-20 + -1t = 0

Solving
-20 + -1t = 0

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

Add '20' to each side of the equation.
-20 + 20 + -1t = 0 + 20

Combine like terms: -20 + 20 = 0
0 + -1t = 0 + 20
-1t = 0 + 20

Combine like terms: 0 + 20 = 20
-1t = 20

Divide each side by '-1'.
t = -20

Simplifying
t = -20
Subproblem 2
Set the factor '(35 + -1t)' equal to zero and attempt to solve:

Simplifying
35 + -1t = 0

Solving
35 + -1t = 0

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

Add '-35' to each side of the equation.
35 + -35 + -1t = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1t = 0 + -35
-1t = 0 + -35

Combine like terms: 0 + -35 = -35
-1t = -35

Divide each side by '-1'.
t = 35

Simplifying
t = 35
Solution
t = {-20, 35}