30=-.3t^2+5t+5

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Solution for 30=-.3t^2+5t+5 equation:


Simplifying
30 = -0.3t2 + 5t + 5

Reorder the terms:
30 = 5 + 5t + -0.3t2

Solving
30 = 5 + 5t + -0.3t2

Solving for variable 't'.

Combine like terms: 30 + -5 = 25
25 + -5t + 0.3t2 = 5 + 5t + -0.3t2 + -5 + -5t + 0.3t2

Reorder the terms:
25 + -5t + 0.3t2 = 5 + -5 + 5t + -5t + -0.3t2 + 0.3t2

Combine like terms: 5 + -5 = 0
25 + -5t + 0.3t2 = 0 + 5t + -5t + -0.3t2 + 0.3t2
25 + -5t + 0.3t2 = 5t + -5t + -0.3t2 + 0.3t2

Combine like terms: 5t + -5t = 0
25 + -5t + 0.3t2 = 0 + -0.3t2 + 0.3t2
25 + -5t + 0.3t2 = -0.3t2 + 0.3t2

Combine like terms: -0.3t2 + 0.3t2 = 0.0
25 + -5t + 0.3t2 = 0.0

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

Divide each side by '0.3'.
83.33333333 + -16.66666667t + t2 = 0

Move the constant term to the right:

Add '-83.33333333' to each side of the equation.
83.33333333 + -16.66666667t + -83.33333333 + t2 = 0 + -83.33333333

Reorder the terms:
83.33333333 + -83.33333333 + -16.66666667t + t2 = 0 + -83.33333333

Combine like terms: 83.33333333 + -83.33333333 = 0.00000000
0.00000000 + -16.66666667t + t2 = 0 + -83.33333333
-16.66666667t + t2 = 0 + -83.33333333

Combine like terms: 0 + -83.33333333 = -83.33333333
-16.66666667t + t2 = -83.33333333

The t term is -16.66666667t.  Take half its coefficient (-8.333333335).
Square it (69.44444447) and add it to both sides.

Add '69.44444447' to each side of the equation.
-16.66666667t + 69.44444447 + t2 = -83.33333333 + 69.44444447

Reorder the terms:
69.44444447 + -16.66666667t + t2 = -83.33333333 + 69.44444447

Combine like terms: -83.33333333 + 69.44444447 = -13.88888886
69.44444447 + -16.66666667t + t2 = -13.88888886

Factor a perfect square on the left side:
(t + -8.333333335)(t + -8.333333335) = -13.88888886

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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