0=(4(x^2))-(16x)+(17)

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Solution for 0=(4(x^2))-(16x)+(17) equation: 


Simplifying
0 = (4(x2)) + -1(16x) + (17)

Remove parenthesis around (16x)
0 = (4x2) + -1 * 16x + (17)

Multiply -1 * 16
0 = (4x2) + -16x + (17)
0 = (4x2) + -16x + 17

Reorder the terms:
0 = 17 + -16x + (4x2)

Solving
0 = 17 + -16x + (4x2)

Solving for variable 'x'.

Combine like terms: 0 + -17 = -17
-17 + 16x + (-4x2) = 17 + -16x + (4x2) + -17 + 16x + (-4x2)

Reorder the terms:
-17 + 16x + (-4x2) = 17 + -17 + -16x + 16x + (4x2) + (-4x2)

Combine like terms: 17 + -17 = 0
-17 + 16x + (-4x2) = 0 + -16x + 16x + (4x2) + (-4x2)
-17 + 16x + (-4x2) = -16x + 16x + (4x2) + (-4x2)

Combine like terms: -16x + 16x = 0
-17 + 16x + (-4x2) = 0 + (4x2) + (-4x2)
-17 + 16x + (-4x2) = (4x2) + (-4x2)

Combine like terms: (4x2) + (-4x2) = 0
-17 + 16x + (-4x2) = 0

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

Divide each side by '-4'.
4.25 + -4x + x2 = 0

Move the constant term to the right:

Add '-4.25' to each side of the equation.
4.25 + -4x + -4.25 + x2 = 0 + -4.25

Reorder the terms:
4.25 + -4.25 + -4x + x2 = 0 + -4.25

Combine like terms: 4.25 + -4.25 = 0.00
0.00 + -4x + x2 = 0 + -4.25
-4x + x2 = 0 + -4.25

Combine like terms: 0 + -4.25 = -4.25
-4x + x2 = -4.25

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

Add '4' to each side of the equation.
-4x + 4 + x2 = -4.25 + 4

Reorder the terms:
4 + -4x + x2 = -4.25 + 4

Combine like terms: -4.25 + 4 = -0.25
4 + -4x + x2 = -0.25

Factor a perfect square on the left side:
((x) + -2)((x) + -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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