0=-16t^2+4t-3

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Solution for 0=-16t^2+4t-3 equation:


Simplifying
0 = -16t2 + 4t + -3

Reorder the terms:
0 = -3 + 4t + -16t2

Solving
0 = -3 + 4t + -16t2

Solving for variable 't'.

Combine like terms: 0 + 3 = 3
3 + -4t + 16t2 = -3 + 4t + -16t2 + 3 + -4t + 16t2

Reorder the terms:
3 + -4t + 16t2 = -3 + 3 + 4t + -4t + -16t2 + 16t2

Combine like terms: -3 + 3 = 0
3 + -4t + 16t2 = 0 + 4t + -4t + -16t2 + 16t2
3 + -4t + 16t2 = 4t + -4t + -16t2 + 16t2

Combine like terms: 4t + -4t = 0
3 + -4t + 16t2 = 0 + -16t2 + 16t2
3 + -4t + 16t2 = -16t2 + 16t2

Combine like terms: -16t2 + 16t2 = 0
3 + -4t + 16t2 = 0

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

Divide each side by '16'.
0.1875 + -0.25t + t2 = 0

Move the constant term to the right:

Add '-0.1875' to each side of the equation.
0.1875 + -0.25t + -0.1875 + t2 = 0 + -0.1875

Reorder the terms:
0.1875 + -0.1875 + -0.25t + t2 = 0 + -0.1875

Combine like terms: 0.1875 + -0.1875 = 0.0000
0.0000 + -0.25t + t2 = 0 + -0.1875
-0.25t + t2 = 0 + -0.1875

Combine like terms: 0 + -0.1875 = -0.1875
-0.25t + t2 = -0.1875

The t term is -0.25t.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25t + 0.015625 + t2 = -0.1875 + 0.015625

Reorder the terms:
0.015625 + -0.25t + t2 = -0.1875 + 0.015625

Combine like terms: -0.1875 + 0.015625 = -0.171875
0.015625 + -0.25t + t2 = -0.171875

Factor a perfect square on the left side:
(t + -0.125)(t + -0.125) = -0.171875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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