2t^3-14t+3=3

Solution for 2t^3-14t+3=3 equation:

Simplifying
2t3 + -14t + 3 = 3

Reorder the terms:
3 + -14t + 2t3 = 3

Add '-3' to each side of the equation.
3 + -14t + -3 + 2t3 = 3 + -3

Reorder the terms:
3 + -3 + -14t + 2t3 = 3 + -3

Combine like terms: 3 + -3 = 0
0 + -14t + 2t3 = 3 + -3
-14t + 2t3 = 3 + -3

Combine like terms: 3 + -3 = 0
-14t + 2t3 = 0

Solving
-14t + 2t3 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2t'.
2t(-7 + t2) = 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 + t2)' equal to zero and attempt to solve:

Simplifying
-7 + t2 = 0

Solving
-7 + t2 = 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 + t2 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + t2 = 0 + 7
t2 = 0 + 7

Combine like terms: 0 + 7 = 7
t2 = 7

Simplifying
t2 = 7

Take the square root of each side:
t = {-2.645751311, 2.645751311}
Solution
t = {0, -2.645751311, 2.645751311}