165x^2+4x+24=0

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Solution for 165x^2+4x+24=0 equation: 


Simplifying
165x2 + 4x + 24 = 0

Reorder the terms:
24 + 4x + 165x2 = 0

Solving
24 + 4x + 165x2 = 0

Solving for variable 'x'.

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

Divide each side by '165'.
0.1454545455 + 0.02424242424x + x2 = 0

Move the constant term to the right:

Add '-0.1454545455' to each side of the equation.
0.1454545455 + 0.02424242424x + -0.1454545455 + x2 = 0 + -0.1454545455

Reorder the terms:
0.1454545455 + -0.1454545455 + 0.02424242424x + x2 = 0 + -0.1454545455

Combine like terms: 0.1454545455 + -0.1454545455 = 0.0000000000
0.0000000000 + 0.02424242424x + x2 = 0 + -0.1454545455
0.02424242424x + x2 = 0 + -0.1454545455

Combine like terms: 0 + -0.1454545455 = -0.1454545455
0.02424242424x + x2 = -0.1454545455

The x term is 0.02424242424x.  Take half its coefficient (0.01212121212).
Square it (0.0001469237833) and add it to both sides.

Add '0.0001469237833' to each side of the equation.
0.02424242424x + 0.0001469237833 + x2 = -0.1454545455 + 0.0001469237833

Reorder the terms:
0.0001469237833 + 0.02424242424x + x2 = -0.1454545455 + 0.0001469237833

Combine like terms: -0.1454545455 + 0.0001469237833 = -0.1453076217167
0.0001469237833 + 0.02424242424x + x2 = -0.1453076217167

Factor a perfect square on the left side:
(x + 0.01212121212)(x + 0.01212121212) = -0.1453076217167

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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