-t(t-3)=

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

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

Reorder the terms:
-1t(-3 + t) = 0
(-3 * -1t + t * -1t) = 0
(3t + -1t2) = 0

Solving
3t + -1t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(3 + -1t) = 0

Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Simplifying
t = 0
Subproblem 2
Set the factor '(3 + -1t)' equal to zero and attempt to solve:

Simplifying
3 + -1t = 0

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

Combine like terms: 3 + -3 = 0
0 + -1t = 0 + -3
-1t = 0 + -3

Combine like terms: 0 + -3 = -3
-1t = -3

Divide each side by '-1'.
t = 3

Simplifying
t = 3
Solution
t = {0, 3}