5t(3t+7)=0

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Solution for 5t(3t+7)=0 equation: 


Simplifying
5t(3t + 7) = 0

Reorder the terms:
5t(7 + 3t) = 0
(7 * 5t + 3t * 5t) = 0
(35t + 15t2) = 0

Solving
35t + 15t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '5t'.
5t(7 + 3t) = 0

Ignore the factor 5.

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 + 3t)' equal to zero and attempt to solve:

Simplifying
7 + 3t = 0

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

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

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

Divide each side by '3'.
t = -2.333333333

Simplifying
t = -2.333333333
Solution
t = {0, -2.333333333}

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