16x^2+-4x+9=0

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Solution for 16x^2+-4x+9=0 equation:


Simplifying
16x2 + -4x + 9 = 0

Reorder the terms:
9 + -4x + 16x2 = 0

Solving
9 + -4x + 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'.
0.5625 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-0.5625' to each side of the equation.
0.5625 + -0.25x + -0.5625 + x2 = 0 + -0.5625

Reorder the terms:
0.5625 + -0.5625 + -0.25x + x2 = 0 + -0.5625

Combine like terms: 0.5625 + -0.5625 = 0.0000
0.0000 + -0.25x + x2 = 0 + -0.5625
-0.25x + x2 = 0 + -0.5625

Combine like terms: 0 + -0.5625 = -0.5625
-0.25x + x2 = -0.5625

The x term is -0.25x.  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.
-0.25x + 0.015625 + x2 = -0.5625 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -0.5625 + 0.015625

Combine like terms: -0.5625 + 0.015625 = -0.546875
0.015625 + -0.25x + x2 = -0.546875

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -0.546875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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