(t+30)(t-1)=0

Solution for (t+30)(t-1)=0 equation:

Simplifying
(t + 30)(t + -1) = 0

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

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

Multiply (30 + t) * (-1 + t)
(30(-1 + t) + t(-1 + t)) = 0
((-1 * 30 + t * 30) + t(-1 + t)) = 0
((-30 + 30t) + t(-1 + t)) = 0
(-30 + 30t + (-1 * t + t * t)) = 0
(-30 + 30t + (-1t + t2)) = 0

Combine like terms: 30t + -1t = 29t
(-30 + 29t + t2) = 0

Solving
-30 + 29t + t2 = 0

Solving for variable 't'.

Factor a trinomial.
(-30 + -1t)(1 + -1t) = 0

Subproblem 1
Set the factor '(-30 + -1t)' equal to zero and attempt to solve:

Simplifying
-30 + -1t = 0

Solving
-30 + -1t = 0

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

Add '30' to each side of the equation.
-30 + 30 + -1t = 0 + 30

Combine like terms: -30 + 30 = 0
0 + -1t = 0 + 30
-1t = 0 + 30

Combine like terms: 0 + 30 = 30
-1t = 30

Divide each side by '-1'.
t = -30

Simplifying
t = -30
Subproblem 2
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
Solution
t = {-30, 1}