3t^2+7t=-7

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


Simplifying
3t2 + 7t = -7

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

Solving
7t + 3t2 = -7

Solving for variable 't'.

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

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

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

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

Move the constant term to the right:

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

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

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

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

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 = -2.333333333 + 1.361111112

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

Combine like terms: -2.333333333 + 1.361111112 = -0.972222221
1.361111112 + 2.333333333t + t2 = -0.972222221

Factor a perfect square on the left side:
(t + 1.166666667)(t + 1.166666667) = -0.972222221

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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