4t^2+17=16t

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Solution for 4t^2+17=16t equation:


Simplifying
4t2 + 17 = 16t

Reorder the terms:
17 + 4t2 = 16t

Solving
17 + 4t2 = 16t

Solving for variable 't'.

Reorder the terms:
17 + -16t + 4t2 = 16t + -16t

Combine like terms: 16t + -16t = 0
17 + -16t + 4t2 = 0

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

Divide each side by '4'.
4.25 + -4t + t2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -4t + -4.25 + t2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + -4t + t2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -4t + t2 = 0 + -4.25
-4t + t2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
-4t + t2 = -4.25

The t term is -4t.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4t + 4 + t2 = -4.25 + 4

Reorder the terms:
4 + -4t + t2 = -4.25 + 4

Combine like terms: -4.25 + 4 = -0.25
4 + -4t + t2 = -0.25

Factor a perfect square on the left side:
(t + -2)(t + -2) = -0.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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