(5t^2+4t+18)+(200-5t+7t^2)=

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Solution for (5t^2+4t+18)+(200-5t+7t^2)= equation: 


Simplifying
(5t2 + 4t + 18) + (200 + -5t + 7t2) = 0

Reorder the terms:
(18 + 4t + 5t2) + (200 + -5t + 7t2) = 0

Remove parenthesis around (18 + 4t + 5t2)
18 + 4t + 5t2 + (200 + -5t + 7t2) = 0

Remove parenthesis around (200 + -5t + 7t2)
18 + 4t + 5t2 + 200 + -5t + 7t2 = 0

Reorder the terms:
18 + 200 + 4t + -5t + 5t2 + 7t2 = 0

Combine like terms: 18 + 200 = 218
218 + 4t + -5t + 5t2 + 7t2 = 0

Combine like terms: 4t + -5t = -1t
218 + -1t + 5t2 + 7t2 = 0

Combine like terms: 5t2 + 7t2 = 12t2
218 + -1t + 12t2 = 0

Solving
218 + -1t + 12t2 = 0

Solving for variable 't'.

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

Divide each side by '12'.
18.16666667 + -0.08333333333t + t2 = 0

Move the constant term to the right:

Add '-18.16666667' to each side of the equation.
18.16666667 + -0.08333333333t + -18.16666667 + t2 = 0 + -18.16666667

Reorder the terms:
18.16666667 + -18.16666667 + -0.08333333333t + t2 = 0 + -18.16666667

Combine like terms: 18.16666667 + -18.16666667 = 0.00000000
0.00000000 + -0.08333333333t + t2 = 0 + -18.16666667
-0.08333333333t + t2 = 0 + -18.16666667

Combine like terms: 0 + -18.16666667 = -18.16666667
-0.08333333333t + t2 = -18.16666667

The t term is -0.08333333333t.  Take half its coefficient (-0.04166666667).
Square it (0.001736111111) and add it to both sides.

Add '0.001736111111' to each side of the equation.
-0.08333333333t + 0.001736111111 + t2 = -18.16666667 + 0.001736111111

Reorder the terms:
0.001736111111 + -0.08333333333t + t2 = -18.16666667 + 0.001736111111

Combine like terms: -18.16666667 + 0.001736111111 = -18.164930558889
0.001736111111 + -0.08333333333t + t2 = -18.164930558889

Factor a perfect square on the left side:
(t + -0.04166666667)(t + -0.04166666667) = -18.164930558889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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