3t^2-14t+21=0

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Solution for 3t^2-14t+21=0 equation:


Simplifying
3t2 + -14t + 21 = 0

Reorder the terms:
21 + -14t + 3t2 = 0

Solving
21 + -14t + 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'.
7 + -4.666666667t + t2 = 0

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + -4.666666667t + -7 + t2 = 0 + -7

Reorder the terms:
7 + -7 + -4.666666667t + t2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4.666666667t + t2 = 0 + -7
-4.666666667t + t2 = 0 + -7

Combine like terms: 0 + -7 = -7
-4.666666667t + t2 = -7

The t term is -4.666666667t.  Take half its coefficient (-2.333333334).
Square it (5.444444448) and add it to both sides.

Add '5.444444448' to each side of the equation.
-4.666666667t + 5.444444448 + t2 = -7 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667t + t2 = -7 + 5.444444448

Combine like terms: -7 + 5.444444448 = -1.555555552
5.444444448 + -4.666666667t + t2 = -1.555555552

Factor a perfect square on the left side:
(t + -2.333333334)(t + -2.333333334) = -1.555555552

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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