(-3+5t)(4+t)=

Solution for (-3+5t)(4+t)= equation:

Simplifying
(-3 + 5t)(4 + t) = 0

Multiply (-3 + 5t) * (4 + t)
(-3(4 + t) + 5t * (4 + t)) = 0
((4 * -3 + t * -3) + 5t * (4 + t)) = 0
((-12 + -3t) + 5t * (4 + t)) = 0
(-12 + -3t + (4 * 5t + t * 5t)) = 0
(-12 + -3t + (20t + 5t2)) = 0

Combine like terms: -3t + 20t = 17t
(-12 + 17t + 5t2) = 0

Solving
-12 + 17t + 5t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-4 + -1t)(3 + -5t) = 0

Subproblem 1
Set the factor '(-4 + -1t)' equal to zero and attempt to solve:

Simplifying
-4 + -1t = 0

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

Combine like terms: -4 + 4 = 0
0 + -1t = 0 + 4
-1t = 0 + 4

Combine like terms: 0 + 4 = 4
-1t = 4

Divide each side by '-1'.
t = -4

Simplifying
t = -4
Subproblem 2
Set the factor '(3 + -5t)' equal to zero and attempt to solve:

Simplifying
3 + -5t = 0

Solving
3 + -5t = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5t = 0 + -3
-5t = 0 + -3

Combine like terms: 0 + -3 = -3
-5t = -3

Divide each side by '-5'.
t = 0.6

Simplifying
t = 0.6
Solution
t = {-4, 0.6}