18.24=-16t^2+24t+8

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Solution for 18.24=-16t^2+24t+8 equation: 


Simplifying
18.24 = -16t2 + 24t + 8

Reorder the terms:
18.24 = 8 + 24t + -16t2

Solving
18.24 = 8 + 24t + -16t2

Solving for variable 't'.

Combine like terms: 18.24 + -8 = 10.24
10.24 + -24t + 16t2 = 8 + 24t + -16t2 + -8 + -24t + 16t2

Reorder the terms:
10.24 + -24t + 16t2 = 8 + -8 + 24t + -24t + -16t2 + 16t2

Combine like terms: 8 + -8 = 0
10.24 + -24t + 16t2 = 0 + 24t + -24t + -16t2 + 16t2
10.24 + -24t + 16t2 = 24t + -24t + -16t2 + 16t2

Combine like terms: 24t + -24t = 0
10.24 + -24t + 16t2 = 0 + -16t2 + 16t2
10.24 + -24t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
10.24 + -24t + 16t2 = 0

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

Divide each side by '16'.
0.64 + -1.5t + t2 = 0

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -1.5t + -0.64 + t2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + -1.5t + t2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -1.5t + t2 = 0 + -0.64
-1.5t + t2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
-1.5t + t2 = -0.64

The t term is -1.5t.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5t + 0.5625 + t2 = -0.64 + 0.5625

Reorder the terms:
0.5625 + -1.5t + t2 = -0.64 + 0.5625

Combine like terms: -0.64 + 0.5625 = -0.0775
0.5625 + -1.5t + t2 = -0.0775

Factor a perfect square on the left side:
(t + -0.75)(t + -0.75) = -0.0775

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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