8=-16t^2+23t-8

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Solution for 8=-16t^2+23t-8 equation: 


Simplifying
8 = -16t2 + 23t + -8

Reorder the terms:
8 = -8 + 23t + -16t2

Solving
8 = -8 + 23t + -16t2

Solving for variable 't'.

Combine like terms: 8 + 8 = 16
16 + -23t + 16t2 = -8 + 23t + -16t2 + 8 + -23t + 16t2

Reorder the terms:
16 + -23t + 16t2 = -8 + 8 + 23t + -23t + -16t2 + 16t2

Combine like terms: -8 + 8 = 0
16 + -23t + 16t2 = 0 + 23t + -23t + -16t2 + 16t2
16 + -23t + 16t2 = 23t + -23t + -16t2 + 16t2

Combine like terms: 23t + -23t = 0
16 + -23t + 16t2 = 0 + -16t2 + 16t2
16 + -23t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
16 + -23t + 16t2 = 0

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

Divide each side by '16'.
1 + -1.4375t + t2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.4375t + -1 + t2 = 0 + -1

Reorder the terms:
1 + -1 + -1.4375t + t2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.4375t + t2 = 0 + -1
-1.4375t + t2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.4375t + t2 = -1

The t term is -1.4375t.  Take half its coefficient (-0.71875).
Square it (0.5166015625) and add it to both sides.

Add '0.5166015625' to each side of the equation.
-1.4375t + 0.5166015625 + t2 = -1 + 0.5166015625

Reorder the terms:
0.5166015625 + -1.4375t + t2 = -1 + 0.5166015625

Combine like terms: -1 + 0.5166015625 = -0.4833984375
0.5166015625 + -1.4375t + t2 = -0.4833984375

Factor a perfect square on the left side:
(t + -0.71875)(t + -0.71875) = -0.4833984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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