0=3t^2-14t+22

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Solution for 0=3t^2-14t+22 equation: 


Simplifying
0 = 3t2 + -14t + 22

Reorder the terms:
0 = 22 + -14t + 3t2

Solving
0 = 22 + -14t + 3t2

Solving for variable 't'.

Combine like terms: 0 + -22 = -22
-22 + 14t + -3t2 = 22 + -14t + 3t2 + -22 + 14t + -3t2

Reorder the terms:
-22 + 14t + -3t2 = 22 + -22 + -14t + 14t + 3t2 + -3t2

Combine like terms: 22 + -22 = 0
-22 + 14t + -3t2 = 0 + -14t + 14t + 3t2 + -3t2
-22 + 14t + -3t2 = -14t + 14t + 3t2 + -3t2

Combine like terms: -14t + 14t = 0
-22 + 14t + -3t2 = 0 + 3t2 + -3t2
-22 + 14t + -3t2 = 3t2 + -3t2

Combine like terms: 3t2 + -3t2 = 0
-22 + 14t + -3t2 = 0

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

Divide each side by '-3'.
7.333333333 + -4.666666667t + t2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + -4.666666667t + -7.333333333 + t2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + -4.666666667t + t2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + -4.666666667t + t2 = 0 + -7.333333333
-4.666666667t + t2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
-4.666666667t + t2 = -7.333333333

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 = -7.333333333 + 5.444444448

Reorder the terms:
5.444444448 + -4.666666667t + t2 = -7.333333333 + 5.444444448

Combine like terms: -7.333333333 + 5.444444448 = -1.888888885
5.444444448 + -4.666666667t + t2 = -1.888888885

Factor a perfect square on the left side:
(t + -2.333333334)(t + -2.333333334) = -1.888888885

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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