9t^2-30t+64=0

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Solution for 9t^2-30t+64=0 equation:


Simplifying
9t2 + -30t + 64 = 0

Reorder the terms:
64 + -30t + 9t2 = 0

Solving
64 + -30t + 9t2 = 0

Solving for variable 't'.

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

Divide each side by '9'.
7.111111111 + -3.333333333t + t2 = 0

Move the constant term to the right:

Add '-7.111111111' to each side of the equation.
7.111111111 + -3.333333333t + -7.111111111 + t2 = 0 + -7.111111111

Reorder the terms:
7.111111111 + -7.111111111 + -3.333333333t + t2 = 0 + -7.111111111

Combine like terms: 7.111111111 + -7.111111111 = 0.000000000
0.000000000 + -3.333333333t + t2 = 0 + -7.111111111
-3.333333333t + t2 = 0 + -7.111111111

Combine like terms: 0 + -7.111111111 = -7.111111111
-3.333333333t + t2 = -7.111111111

The t term is -3.333333333t.  Take half its coefficient (-1.666666667).
Square it (2.777777779) and add it to both sides.

Add '2.777777779' to each side of the equation.
-3.333333333t + 2.777777779 + t2 = -7.111111111 + 2.777777779

Reorder the terms:
2.777777779 + -3.333333333t + t2 = -7.111111111 + 2.777777779

Combine like terms: -7.111111111 + 2.777777779 = -4.333333332
2.777777779 + -3.333333333t + t2 = -4.333333332

Factor a perfect square on the left side:
(t + -1.666666667)(t + -1.666666667) = -4.333333332

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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