3t^2-12t+14=0

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Solution for 3t^2-12t+14=0 equation:


Simplifying
3t2 + -12t + 14 = 0

Reorder the terms:
14 + -12t + 3t2 = 0

Solving
14 + -12t + 3t2 = 0

Solving for variable 't'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
4.666666667 + -4t + t2 = 0

Move the constant term to the right:

Add '-4.666666667' to each side of the equation.
4.666666667 + -4t + -4.666666667 + t2 = 0 + -4.666666667

Reorder the terms:
4.666666667 + -4.666666667 + -4t + t2 = 0 + -4.666666667

Combine like terms: 4.666666667 + -4.666666667 = 0.000000000
0.000000000 + -4t + t2 = 0 + -4.666666667
-4t + t2 = 0 + -4.666666667

Combine like terms: 0 + -4.666666667 = -4.666666667
-4t + t2 = -4.666666667

The t term is -4t.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4t + 4 + t2 = -4.666666667 + 4

Reorder the terms:
4 + -4t + t2 = -4.666666667 + 4

Combine like terms: -4.666666667 + 4 = -0.666666667
4 + -4t + t2 = -0.666666667

Factor a perfect square on the left side:
(t + -2)(t + -2) = -0.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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