900=t^2-80t

Solution for 900=t^2-80t equation:

Simplifying
900 = t2 + -80t

Reorder the terms:
900 = -80t + t2

Solving
900 = -80t + t2

Solving for variable 't'.

Reorder the terms:
900 + 80t + -1t2 = -80t + 80t + t2 + -1t2

Combine like terms: -80t + 80t = 0
900 + 80t + -1t2 = 0 + t2 + -1t2
900 + 80t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
900 + 80t + -1t2 = 0

Factor a trinomial.
(90 + -1t)(10 + t) = 0

Subproblem 1
Set the factor '(90 + -1t)' equal to zero and attempt to solve:

Simplifying
90 + -1t = 0

Solving
90 + -1t = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1t = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1t = 0 + -90
-1t = 0 + -90

Combine like terms: 0 + -90 = -90
-1t = -90

Divide each side by '-1'.
t = 90

Simplifying
t = 90
Subproblem 2
Set the factor '(10 + t)' equal to zero and attempt to solve:

Simplifying
10 + t = 0

Solving
10 + t = 0

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

Add '-10' to each side of the equation.
10 + -10 + t = 0 + -10

Combine like terms: 10 + -10 = 0
0 + t = 0 + -10
t = 0 + -10

Combine like terms: 0 + -10 = -10
t = -10

Simplifying
t = -10
Solution
t = {90, -10}