(t-1)(-3t-4)=

Solution for (t-1)(-3t-4)= equation:

Simplifying
(t + -1)(-3t + -4) = 0

Reorder the terms:
(-1 + t)(-3t + -4) = 0

Reorder the terms:
(-1 + t)(-4 + -3t) = 0

Multiply (-1 + t) * (-4 + -3t)
(-1(-4 + -3t) + t(-4 + -3t)) = 0
((-4 * -1 + -3t * -1) + t(-4 + -3t)) = 0
((4 + 3t) + t(-4 + -3t)) = 0
(4 + 3t + (-4 * t + -3t * t)) = 0
(4 + 3t + (-4t + -3t2)) = 0

Combine like terms: 3t + -4t = -1t
(4 + -1t + -3t2) = 0

Solving
4 + -1t + -3t2 = 0

Solving for variable 't'.

Factor a trinomial.
(1 + -1t)(4 + 3t) = 0

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 '(4 + 3t)' equal to zero and attempt to solve:

Simplifying
4 + 3t = 0

Solving
4 + 3t = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3t = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3t = 0 + -4
3t = 0 + -4

Combine like terms: 0 + -4 = -4
3t = -4

Divide each side by '3'.
t = -1.333333333

Simplifying
t = -1.333333333
Solution
t = {1, -1.333333333}