64x^2+22x+9=0

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Solution for 64x^2+22x+9=0 equation:


Simplifying
64x2 + 22x + 9 = 0

Reorder the terms:
9 + 22x + 64x2 = 0

Solving
9 + 22x + 64x2 = 0

Solving for variable 'x'.

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

Divide each side by '64'.
0.140625 + 0.34375x + x2 = 0

Move the constant term to the right:

Add '-0.140625' to each side of the equation.
0.140625 + 0.34375x + -0.140625 + x2 = 0 + -0.140625

Reorder the terms:
0.140625 + -0.140625 + 0.34375x + x2 = 0 + -0.140625

Combine like terms: 0.140625 + -0.140625 = 0.000000
0.000000 + 0.34375x + x2 = 0 + -0.140625
0.34375x + x2 = 0 + -0.140625

Combine like terms: 0 + -0.140625 = -0.140625
0.34375x + x2 = -0.140625

The x term is 0.34375x.  Take half its coefficient (0.171875).
Square it (0.02954101563) and add it to both sides.

Add '0.02954101563' to each side of the equation.
0.34375x + 0.02954101563 + x2 = -0.140625 + 0.02954101563

Reorder the terms:
0.02954101563 + 0.34375x + x2 = -0.140625 + 0.02954101563

Combine like terms: -0.140625 + 0.02954101563 = -0.11108398437
0.02954101563 + 0.34375x + x2 = -0.11108398437

Factor a perfect square on the left side:
(x + 0.171875)(x + 0.171875) = -0.11108398437

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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