0=3t^2-14t+20

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Solution for 0=3t^2-14t+20 equation: 


Simplifying
0 = 3t2 + -14t + 20

Reorder the terms:
0 = 20 + -14t + 3t2

Solving
0 = 20 + -14t + 3t2

Solving for variable 't'.

Combine like terms: 0 + -20 = -20
-20 + 14t + -3t2 = 20 + -14t + 3t2 + -20 + 14t + -3t2

Reorder the terms:
-20 + 14t + -3t2 = 20 + -20 + -14t + 14t + 3t2 + -3t2

Combine like terms: 20 + -20 = 0
-20 + 14t + -3t2 = 0 + -14t + 14t + 3t2 + -3t2
-20 + 14t + -3t2 = -14t + 14t + 3t2 + -3t2

Combine like terms: -14t + 14t = 0
-20 + 14t + -3t2 = 0 + 3t2 + -3t2
-20 + 14t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-20 + 14t + -3t2 = 0

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

Divide each side by '-3'.
6.666666667 + -4.666666667t + t2 = 0

Move the constant term to the right:

Add '-6.666666667' to each side of the equation.
6.666666667 + -4.666666667t + -6.666666667 + t2 = 0 + -6.666666667

Reorder the terms:
6.666666667 + -6.666666667 + -4.666666667t + t2 = 0 + -6.666666667

Combine like terms: 6.666666667 + -6.666666667 = 0.000000000
0.000000000 + -4.666666667t + t2 = 0 + -6.666666667
-4.666666667t + t2 = 0 + -6.666666667

Combine like terms: 0 + -6.666666667 = -6.666666667
-4.666666667t + t2 = -6.666666667

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 = -6.666666667 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667t + t2 = -6.666666667 + 5.444444448

Combine like terms: -6.666666667 + 5.444444448 = -1.222222219
5.444444448 + -4.666666667t + t2 = -1.222222219

Factor a perfect square on the left side:
(t + -2.333333334)(t + -2.333333334) = -1.222222219

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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