25=-16t^2+30t+6

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Solution for 25=-16t^2+30t+6 equation:


Simplifying
25 = -16t2 + 30t + 6

Reorder the terms:
25 = 6 + 30t + -16t2

Solving
25 = 6 + 30t + -16t2

Solving for variable 't'.

Combine like terms: 25 + -6 = 19
19 + -30t + 16t2 = 6 + 30t + -16t2 + -6 + -30t + 16t2

Reorder the terms:
19 + -30t + 16t2 = 6 + -6 + 30t + -30t + -16t2 + 16t2

Combine like terms: 6 + -6 = 0
19 + -30t + 16t2 = 0 + 30t + -30t + -16t2 + 16t2
19 + -30t + 16t2 = 30t + -30t + -16t2 + 16t2

Combine like terms: 30t + -30t = 0
19 + -30t + 16t2 = 0 + -16t2 + 16t2
19 + -30t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
19 + -30t + 16t2 = 0

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

Divide each side by '16'.
1.1875 + -1.875t + t2 = 0

Move the constant term to the right:

Add '-1.1875' to each side of the equation.
1.1875 + -1.875t + -1.1875 + t2 = 0 + -1.1875

Reorder the terms:
1.1875 + -1.1875 + -1.875t + t2 = 0 + -1.1875

Combine like terms: 1.1875 + -1.1875 = 0.0000
0.0000 + -1.875t + t2 = 0 + -1.1875
-1.875t + t2 = 0 + -1.1875

Combine like terms: 0 + -1.1875 = -1.1875
-1.875t + t2 = -1.1875

The t term is -1.875t.  Take half its coefficient (-0.9375).
Square it (0.87890625) and add it to both sides.

Add '0.87890625' to each side of the equation.
-1.875t + 0.87890625 + t2 = -1.1875 + 0.87890625

Reorder the terms:
0.87890625 + -1.875t + t2 = -1.1875 + 0.87890625

Combine like terms: -1.1875 + 0.87890625 = -0.30859375
0.87890625 + -1.875t + t2 = -0.30859375

Factor a perfect square on the left side:
(t + -0.9375)(t + -0.9375) = -0.30859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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