16x^2-23x+348=0

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Solution for 16x^2-23x+348=0 equation:


Simplifying
16x2 + -23x + 348 = 0

Reorder the terms:
348 + -23x + 16x2 = 0

Solving
348 + -23x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
21.75 + -1.4375x + x2 = 0

Move the constant term to the right:

Add '-21.75' to each side of the equation.
21.75 + -1.4375x + -21.75 + x2 = 0 + -21.75

Reorder the terms:
21.75 + -21.75 + -1.4375x + x2 = 0 + -21.75

Combine like terms: 21.75 + -21.75 = 0.00
0.00 + -1.4375x + x2 = 0 + -21.75
-1.4375x + x2 = 0 + -21.75

Combine like terms: 0 + -21.75 = -21.75
-1.4375x + x2 = -21.75

The x term is -1.4375x.  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.
-1.4375x + 0.5166015625 + x2 = -21.75 + 0.5166015625

Reorder the terms:
0.5166015625 + -1.4375x + x2 = -21.75 + 0.5166015625

Combine like terms: -21.75 + 0.5166015625 = -21.2333984375
0.5166015625 + -1.4375x + x2 = -21.2333984375

Factor a perfect square on the left side:
(x + -0.71875)(x + -0.71875) = -21.2333984375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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