112=-16t*t+128t

Solution for 112=-16t*t+128t equation:

Simplifying
112 = -16t * t + 128t

Multiply t * t
112 = -16t2 + 128t

Reorder the terms:
112 = 128t + -16t2

Solving
112 = 128t + -16t2

Solving for variable 't'.

Reorder the terms:
112 + -128t + 16t2 = 128t + -128t + -16t2 + 16t2

Combine like terms: 128t + -128t = 0
112 + -128t + 16t2 = 0 + -16t2 + 16t2
112 + -128t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
112 + -128t + 16t2 = 0

Factor out the Greatest Common Factor (GCF), '16'.
16(7 + -8t + t2) = 0

Factor a trinomial.
16((1 + -1t)(7 + -1t)) = 0

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

Simplifying
1 + -1t = 0

Solving
1 + -1t = 0

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

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

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

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

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

Simplifying
t = 1
Subproblem 2
Set the factor '(7 + -1t)' equal to zero and attempt to solve:

Simplifying
7 + -1t = 0

Solving
7 + -1t = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1t = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1t = 0 + -7
-1t = 0 + -7

Combine like terms: 0 + -7 = -7
-1t = -7

Divide each side by '-1'.
t = 7

Simplifying
t = 7
Solution
t = {1, 7}