-3t^2-5=-7t

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Solution for -3t^2-5=-7t equation: 


Simplifying
-3t2 + -5 = -7t

Reorder the terms:
-5 + -3t2 = -7t

Solving
-5 + -3t2 = -7t

Solving for variable 't'.

Reorder the terms:
-5 + 7t + -3t2 = -7t + 7t

Combine like terms: -7t + 7t = 0
-5 + 7t + -3t2 = 0

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

Divide each side by '-3'.
1.666666667 + -2.333333333t + t2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -2.333333333t + -1.666666667 + t2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -2.333333333t + t2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -2.333333333t + t2 = 0 + -1.666666667
-2.333333333t + t2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-2.333333333t + t2 = -1.666666667

The t term is -2.333333333t.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333t + 1.361111112 + t2 = -1.666666667 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333t + t2 = -1.666666667 + 1.361111112

Combine like terms: -1.666666667 + 1.361111112 = -0.305555555
1.361111112 + -2.333333333t + t2 = -0.305555555

Factor a perfect square on the left side:
(t + -1.166666667)(t + -1.166666667) = -0.305555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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