t(7t+3)=0

Solution for t(7t+3)=0 equation:

Simplifying
t(7t + 3) = 0

Reorder the terms:
t(3 + 7t) = 0
(3 * t + 7t * t) = 0
(3t + 7t2) = 0

Solving
3t + 7t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(3 + 7t) = 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 + 7t)' equal to zero and attempt to solve:

Simplifying
3 + 7t = 0

Solving
3 + 7t = 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 + 7t = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7t = 0 + -3
7t = 0 + -3

Combine like terms: 0 + -3 = -3
7t = -3

Divide each side by '7'.
t = -0.4285714286

Simplifying
t = -0.4285714286
Solution
t = {0, -0.4285714286}