3t*2t=14t

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Solution for 3t*2t=14t equation: 


Simplifying
3t * 2t = 14t

Reorder the terms for easier multiplication:
3 * 2t * t = 14t

Multiply 3 * 2
6t * t = 14t

Multiply t * t
6t2 = 14t

Solving
6t2 = 14t

Solving for variable 't'.

Reorder the terms:
-14t + 6t2 = 14t + -14t

Combine like terms: 14t + -14t = 0
-14t + 6t2 = 0

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

Ignore the factor 2.

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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