4x^2+17x+24=0

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Solution for 4x^2+17x+24=0 equation:


Simplifying
4x2 + 17x + 24 = 0

Reorder the terms:
24 + 17x + 4x2 = 0

Solving
24 + 17x + 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'.
6 + 4.25x + x2 = 0

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 4.25x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 4.25x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 4.25x + x2 = 0 + -6
4.25x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
4.25x + x2 = -6

The x term is 4.25x.  Take half its coefficient (2.125).
Square it (4.515625) and add it to both sides.

Add '4.515625' to each side of the equation.
4.25x + 4.515625 + x2 = -6 + 4.515625

Reorder the terms:
4.515625 + 4.25x + x2 = -6 + 4.515625

Combine like terms: -6 + 4.515625 = -1.484375
4.515625 + 4.25x + x2 = -1.484375

Factor a perfect square on the left side:
(x + 2.125)(x + 2.125) = -1.484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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