72=16t^2+4t

Solution for 72=16t^2+4t equation:

Simplifying
72 = 16t2 + 4t

Reorder the terms:
72 = 4t + 16t2

Solving
72 = 4t + 16t2

Solving for variable 't'.

Reorder the terms:
72 + -4t + -16t2 = 4t + -4t + 16t2 + -16t2

Combine like terms: 4t + -4t = 0
72 + -4t + -16t2 = 0 + 16t2 + -16t2
72 + -4t + -16t2 = 16t2 + -16t2

Combine like terms: 16t2 + -16t2 = 0
72 + -4t + -16t2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(18 + -1t + -4t2) = 0

Factor a trinomial.
4((2 + -1t)(9 + 4t)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(2 + -1t)' equal to zero and attempt to solve:

Simplifying
2 + -1t = 0

Solving
2 + -1t = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1t = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1t = 0 + -2
-1t = 0 + -2

Combine like terms: 0 + -2 = -2
-1t = -2

Divide each side by '-1'.
t = 2

Simplifying
t = 2
Subproblem 2
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
Solution
t = {2, -2.25}