112=(-16t^2)+64t+48

Solution for 112=(-16t^2)+64t+48 equation:

Simplifying
112 = (-16t2) + 64t + 48

Reorder the terms:
112 = 48 + 64t + (-16t2)

Solving
112 = 48 + 64t + (-16t2)

Solving for variable 't'.

Combine like terms: 112 + -48 = 64
64 + -64t + (16t2) = 48 + 64t + (-16t2) + -48 + -64t + (16t2)

Reorder the terms:
64 + -64t + (16t2) = 48 + -48 + 64t + -64t + (-16t2) + (16t2)

Combine like terms: 48 + -48 = 0
64 + -64t + (16t2) = 0 + 64t + -64t + (-16t2) + (16t2)
64 + -64t + (16t2) = 64t + -64t + (-16t2) + (16t2)

Combine like terms: 64t + -64t = 0
64 + -64t + (16t2) = 0 + (-16t2) + (16t2)
64 + -64t + (16t2) = (-16t2) + (16t2)

Combine like terms: (-16t2) + (16t2) = 0
64 + -64t + (16t2) = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(4 + -4t + t2) = 0

Factor a trinomial.
16((2 + -1t)(2 + -1t)) = 0

Ignore the factor 16.
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 '(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
Solution
t = {2, 2}