3t^2-16t=-28

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Solution for 3t^2-16t=-28 equation: 


Simplifying
3t2 + -16t = -28

Reorder the terms:
-16t + 3t2 = -28

Solving
-16t + 3t2 = -28

Solving for variable 't'.

Reorder the terms:
28 + -16t + 3t2 = -28 + 28

Combine like terms: -28 + 28 = 0
28 + -16t + 3t2 = 0

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

Divide each side by '3'.
9.333333333 + -5.333333333t + t2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -5.333333333t + -9.333333333 + t2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -5.333333333t + t2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -5.333333333t + t2 = 0 + -9.333333333
-5.333333333t + t2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-5.333333333t + t2 = -9.333333333

The t term is -5.333333333t.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333t + 7.111111113 + t2 = -9.333333333 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333t + t2 = -9.333333333 + 7.111111113

Combine like terms: -9.333333333 + 7.111111113 = -2.22222222
7.111111113 + -5.333333333t + t2 = -2.22222222

Factor a perfect square on the left side:
(t + -2.666666667)(t + -2.666666667) = -2.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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