3-5t+6t^2=0

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Solution for 3-5t+6t^2=0 equation:


Simplifying
3 + -5t + 6t2 = 0

Solving
3 + -5t + 6t2 = 0

Solving for variable 't'.

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

Divide each side by '6'.
0.5 + -0.8333333333t + t2 = 0

Move the constant term to the right:

Add '-0.5' to each side of the equation.
0.5 + -0.8333333333t + -0.5 + t2 = 0 + -0.5

Reorder the terms:
0.5 + -0.5 + -0.8333333333t + t2 = 0 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -0.8333333333t + t2 = 0 + -0.5
-0.8333333333t + t2 = 0 + -0.5

Combine like terms: 0 + -0.5 = -0.5
-0.8333333333t + t2 = -0.5

The t term is -0.8333333333t.  Take half its coefficient (-0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
-0.8333333333t + 0.1736111111 + t2 = -0.5 + 0.1736111111

Reorder the terms:
0.1736111111 + -0.8333333333t + t2 = -0.5 + 0.1736111111

Combine like terms: -0.5 + 0.1736111111 = -0.3263888889
0.1736111111 + -0.8333333333t + t2 = -0.3263888889

Factor a perfect square on the left side:
(t + -0.4166666667)(t + -0.4166666667) = -0.3263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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