48+34t-7t^2=0

Solution for 48+34t-7t^2=0 equation:

Simplifying
48 + 34t + -7t2 = 0

Solving
48 + 34t + -7t2 = 0

Solving for variable 't'.

Factor a trinomial.
(6 + -1t)(8 + 7t) = 0

Subproblem 1
Set the factor '(6 + -1t)' equal to zero and attempt to solve:

Simplifying
6 + -1t = 0

Solving
6 + -1t = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1t = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1t = 0 + -6
-1t = 0 + -6

Combine like terms: 0 + -6 = -6
-1t = -6

Divide each side by '-1'.
t = 6

Simplifying
t = 6
Subproblem 2
Set the factor '(8 + 7t)' equal to zero and attempt to solve:

Simplifying
8 + 7t = 0

Solving
8 + 7t = 0

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

Add '-8' to each side of the equation.
8 + -8 + 7t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 7t = 0 + -8
7t = 0 + -8

Combine like terms: 0 + -8 = -8
7t = -8

Divide each side by '7'.
t = -1.142857143

Simplifying
t = -1.142857143
Solution
t = {6, -1.142857143}