20=-16t^2+30t+4.5

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Solution for 20=-16t^2+30t+4.5 equation: 


Simplifying
20 = -16t2 + 30t + 4.5

Reorder the terms:
20 = 4.5 + 30t + -16t2

Solving
20 = 4.5 + 30t + -16t2

Solving for variable 't'.

Combine like terms: 20 + -4.5 = 15.5
15.5 + -30t + 16t2 = 4.5 + 30t + -16t2 + -4.5 + -30t + 16t2

Reorder the terms:
15.5 + -30t + 16t2 = 4.5 + -4.5 + 30t + -30t + -16t2 + 16t2

Combine like terms: 4.5 + -4.5 = 0.0
15.5 + -30t + 16t2 = 0.0 + 30t + -30t + -16t2 + 16t2
15.5 + -30t + 16t2 = 30t + -30t + -16t2 + 16t2

Combine like terms: 30t + -30t = 0
15.5 + -30t + 16t2 = 0 + -16t2 + 16t2
15.5 + -30t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
15.5 + -30t + 16t2 = 0

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

Divide each side by '16'.
0.96875 + -1.875t + t2 = 0

Move the constant term to the right:

Add '-0.96875' to each side of the equation.
0.96875 + -1.875t + -0.96875 + t2 = 0 + -0.96875

Reorder the terms:
0.96875 + -0.96875 + -1.875t + t2 = 0 + -0.96875

Combine like terms: 0.96875 + -0.96875 = 0.00000
0.00000 + -1.875t + t2 = 0 + -0.96875
-1.875t + t2 = 0 + -0.96875

Combine like terms: 0 + -0.96875 = -0.96875
-1.875t + t2 = -0.96875

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 = -0.96875 + 0.87890625

Reorder the terms:
0.87890625 + -1.875t + t2 = -0.96875 + 0.87890625

Combine like terms: -0.96875 + 0.87890625 = -0.08984375
0.87890625 + -1.875t + t2 = -0.08984375

Factor a perfect square on the left side:
(t + -0.9375)(t + -0.9375) = -0.08984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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