3t(2t-7)=

Solution for 3t(2t-7)= equation:

Simplifying
3t(2t + -7) = 0

Reorder the terms:
3t(-7 + 2t) = 0
(-7 * 3t + 2t * 3t) = 0
(-21t + 6t2) = 0

Solving
-21t + 6t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '3t'.
3t(-7 + 2t) = 0

Ignore the factor 3.
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 '(-7 + 2t)' equal to zero and attempt to solve:

Simplifying
-7 + 2t = 0

Solving
-7 + 2t = 0

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

Add '7' to each side of the equation.
-7 + 7 + 2t = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2t = 0 + 7
2t = 0 + 7

Combine like terms: 0 + 7 = 7
2t = 7

Divide each side by '2'.
t = 3.5

Simplifying
t = 3.5
Solution
t = {0, 3.5}