0=-16t^2+33t-18

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Solution for 0=-16t^2+33t-18 equation: 


Simplifying
0 = -16t2 + 33t + -18

Reorder the terms:
0 = -18 + 33t + -16t2

Solving
0 = -18 + 33t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 18 = 18
18 + -33t + 16t2 = -18 + 33t + -16t2 + 18 + -33t + 16t2

Reorder the terms:
18 + -33t + 16t2 = -18 + 18 + 33t + -33t + -16t2 + 16t2

Combine like terms: -18 + 18 = 0
18 + -33t + 16t2 = 0 + 33t + -33t + -16t2 + 16t2
18 + -33t + 16t2 = 33t + -33t + -16t2 + 16t2

Combine like terms: 33t + -33t = 0
18 + -33t + 16t2 = 0 + -16t2 + 16t2
18 + -33t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
18 + -33t + 16t2 = 0

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

Divide each side by '16'.
1.125 + -2.0625t + t2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -2.0625t + -1.125 + t2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -2.0625t + t2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -2.0625t + t2 = 0 + -1.125
-2.0625t + t2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-2.0625t + t2 = -1.125

The t term is -2.0625t.  Take half its coefficient (-1.03125).
Square it (1.063476563) and add it to both sides.

Add '1.063476563' to each side of the equation.
-2.0625t + 1.063476563 + t2 = -1.125 + 1.063476563

Reorder the terms:
1.063476563 + -2.0625t + t2 = -1.125 + 1.063476563

Combine like terms: -1.125 + 1.063476563 = -0.061523437
1.063476563 + -2.0625t + t2 = -0.061523437

Factor a perfect square on the left side:
(t + -1.03125)(t + -1.03125) = -0.061523437

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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