540=-16t^2+44t+720

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Solution for 540=-16t^2+44t+720 equation: 


Simplifying
540 = -16t2 + 44t + 720

Reorder the terms:
540 = 720 + 44t + -16t2

Solving
540 = 720 + 44t + -16t2

Solving for variable 't'.

Combine like terms: 540 + -720 = -180
-180 + -44t + 16t2 = 720 + 44t + -16t2 + -720 + -44t + 16t2

Reorder the terms:
-180 + -44t + 16t2 = 720 + -720 + 44t + -44t + -16t2 + 16t2

Combine like terms: 720 + -720 = 0
-180 + -44t + 16t2 = 0 + 44t + -44t + -16t2 + 16t2
-180 + -44t + 16t2 = 44t + -44t + -16t2 + 16t2

Combine like terms: 44t + -44t = 0
-180 + -44t + 16t2 = 0 + -16t2 + 16t2
-180 + -44t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
-180 + -44t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-45 + -11t + 4t2) = 0

Factor a trinomial.
4((-9 + -4t)(5 + -1t)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-9 + -4t)' equal to zero and attempt to solve:

Simplifying
-9 + -4t = 0

Solving
-9 + -4t = 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 + -4t = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -4t = 0 + 9
-4t = 0 + 9

Combine like terms: 0 + 9 = 9
-4t = 9

Divide each side by '-4'.
t = -2.25

Simplifying
t = -2.25

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 = {-2.25, 5}

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