900=80t-5t^2

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Solution for 900=80t-5t^2 equation: 


Simplifying
900 = 80t + -5t2

Solving
900 = 80t + -5t2

Solving for variable 't'.

Reorder the terms:
900 + -80t + 5t2 = 80t + -80t + -5t2 + 5t2

Combine like terms: 80t + -80t = 0
900 + -80t + 5t2 = 0 + -5t2 + 5t2
900 + -80t + 5t2 = -5t2 + 5t2

Combine like terms: -5t2 + 5t2 = 0
900 + -80t + 5t2 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(180 + -16t + t2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(180 + -16t + t2)' equal to zero and attempt to solve:

Simplifying
180 + -16t + t2 = 0

Solving
180 + -16t + t2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-180' to each side of the equation.
180 + -16t + -180 + t2 = 0 + -180

Reorder the terms:
180 + -180 + -16t + t2 = 0 + -180

Combine like terms: 180 + -180 = 0
0 + -16t + t2 = 0 + -180
-16t + t2 = 0 + -180

Combine like terms: 0 + -180 = -180
-16t + t2 = -180

The t term is -16t.  Take half its coefficient (-8).
Square it (64) and add it to both sides.

Add '64' to each side of the equation.
-16t + 64 + t2 = -180 + 64

Reorder the terms:
64 + -16t + t2 = -180 + 64

Combine like terms: -180 + 64 = -116
64 + -16t + t2 = -116

Factor a perfect square on the left side:
(t + -8)(t + -8) = -116

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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