4x^2-3x+16=0

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


Simplifying
4x2 + -3x + 16 = 0

Reorder the terms:
16 + -3x + 4x2 = 0

Solving
16 + -3x + 4x2 = 0

Solving for variable 'x'.

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

Divide each side by '4'.
4 + -0.75x + x2 = 0

Move the constant term to the right:

Add '-4' to each side of the equation.
4 + -0.75x + -4 + x2 = 0 + -4

Reorder the terms:
4 + -4 + -0.75x + x2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -0.75x + x2 = 0 + -4
-0.75x + x2 = 0 + -4

Combine like terms: 0 + -4 = -4
-0.75x + x2 = -4

The x term is -0.75x.  Take half its coefficient (-0.375).
Square it (0.140625) and add it to both sides.

Add '0.140625' to each side of the equation.
-0.75x + 0.140625 + x2 = -4 + 0.140625

Reorder the terms:
0.140625 + -0.75x + x2 = -4 + 0.140625

Combine like terms: -4 + 0.140625 = -3.859375
0.140625 + -0.75x + x2 = -3.859375

Factor a perfect square on the left side:
(x + -0.375)(x + -0.375) = -3.859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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