200=25t+.5(-6)t^2

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Solution for 200=25t+.5(-6)t^2 equation:


Simplifying
200 = 25t + 0.5(-6) * t2

Multiply 0.5 * -6
200 = 25t + -3t2

Solving
200 = 25t + -3t2

Solving for variable 't'.

Reorder the terms:
200 + -25t + 3t2 = 25t + -25t + -3t2 + 3t2

Combine like terms: 25t + -25t = 0
200 + -25t + 3t2 = 0 + -3t2 + 3t2
200 + -25t + 3t2 = -3t2 + 3t2

Combine like terms: -3t2 + 3t2 = 0
200 + -25t + 3t2 = 0

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

Divide each side by '3'.
66.66666667 + -8.333333333t + t2 = 0

Move the constant term to the right:

Add '-66.66666667' to each side of the equation.
66.66666667 + -8.333333333t + -66.66666667 + t2 = 0 + -66.66666667

Reorder the terms:
66.66666667 + -66.66666667 + -8.333333333t + t2 = 0 + -66.66666667

Combine like terms: 66.66666667 + -66.66666667 = 0.00000000
0.00000000 + -8.333333333t + t2 = 0 + -66.66666667
-8.333333333t + t2 = 0 + -66.66666667

Combine like terms: 0 + -66.66666667 = -66.66666667
-8.333333333t + t2 = -66.66666667

The t term is -8.333333333t.  Take half its coefficient (-4.166666667).
Square it (17.36111111) and add it to both sides.

Add '17.36111111' to each side of the equation.
-8.333333333t + 17.36111111 + t2 = -66.66666667 + 17.36111111

Reorder the terms:
17.36111111 + -8.333333333t + t2 = -66.66666667 + 17.36111111

Combine like terms: -66.66666667 + 17.36111111 = -49.30555556
17.36111111 + -8.333333333t + t2 = -49.30555556

Factor a perfect square on the left side:
(t + -4.166666667)(t + -4.166666667) = -49.30555556

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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