24x^2+18x+5=0

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Solution for 24x^2+18x+5=0 equation:


Simplifying
24x2 + 18x + 5 = 0

Reorder the terms:
5 + 18x + 24x2 = 0

Solving
5 + 18x + 24x2 = 0

Solving for variable 'x'.

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

Divide each side by '24'.
0.2083333333 + 0.75x + x2 = 0

Move the constant term to the right:

Add '-0.2083333333' to each side of the equation.
0.2083333333 + 0.75x + -0.2083333333 + x2 = 0 + -0.2083333333

Reorder the terms:
0.2083333333 + -0.2083333333 + 0.75x + x2 = 0 + -0.2083333333

Combine like terms: 0.2083333333 + -0.2083333333 = 0.0000000000
0.0000000000 + 0.75x + x2 = 0 + -0.2083333333
0.75x + x2 = 0 + -0.2083333333

Combine like terms: 0 + -0.2083333333 = -0.2083333333
0.75x + x2 = -0.2083333333

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 = -0.2083333333 + 0.140625

Reorder the terms:
0.140625 + 0.75x + x2 = -0.2083333333 + 0.140625

Combine like terms: -0.2083333333 + 0.140625 = -0.0677083333
0.140625 + 0.75x + x2 = -0.0677083333

Factor a perfect square on the left side:
(x + 0.375)(x + 0.375) = -0.0677083333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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