t(7t+5)=0

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


Simplifying
t(7t + 5) = 0

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

Solving
5t + 7t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), 't'.
t(5 + 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 '(5 + 7t)' equal to zero and attempt to solve:

Simplifying
5 + 7t = 0

Solving
5 + 7t = 0

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

Add '-5' to each side of the equation.
5 + -5 + 7t = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 7t = 0 + -5
7t = 0 + -5

Combine like terms: 0 + -5 = -5
7t = -5

Divide each side by '7'.
t = -0.7142857143

Simplifying
t = -0.7142857143
Solution
t = {0, -0.7142857143}

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