3t^2-40t=-128

Solution for 3t^2-40t=-128 equation:

Simplifying
3t2 + -40t = -128

Reorder the terms:
-40t + 3t2 = -128

Solving
-40t + 3t2 = -128

Solving for variable 't'.

Reorder the terms:
128 + -40t + 3t2 = -128 + 128

Combine like terms: -128 + 128 = 0
128 + -40t + 3t2 = 0

Factor a trinomial.
(16 + -3t)(8 + -1t) = 0

Subproblem 1
Set the factor '(16 + -3t)' equal to zero and attempt to solve:

Simplifying
16 + -3t = 0

Solving
16 + -3t = 0

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

Add '-16' to each side of the equation.
16 + -16 + -3t = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -3t = 0 + -16
-3t = 0 + -16

Combine like terms: 0 + -16 = -16
-3t = -16

Divide each side by '-3'.
t = 5.333333333

Simplifying
t = 5.333333333
Subproblem 2
Set the factor '(8 + -1t)' equal to zero and attempt to solve:

Simplifying
8 + -1t = 0

Solving
8 + -1t = 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 + -1t = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1t = 0 + -8
-1t = 0 + -8

Combine like terms: 0 + -8 = -8
-1t = -8

Divide each side by '-1'.
t = 8

Simplifying
t = 8
Solution
t = {5.333333333, 8}