4x^2+9x+160=0

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Solution for 4x^2+9x+160=0 equation:


Simplifying
4x2 + 9x + 160 = 0

Reorder the terms:
160 + 9x + 4x2 = 0

Solving
160 + 9x + 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'.
40 + 2.25x + x2 = 0

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + 2.25x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + 2.25x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 2.25x + x2 = 0 + -40
2.25x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
2.25x + x2 = -40

The x term is 2.25x.  Take half its coefficient (1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
2.25x + 1.265625 + x2 = -40 + 1.265625

Reorder the terms:
1.265625 + 2.25x + x2 = -40 + 1.265625

Combine like terms: -40 + 1.265625 = -38.734375
1.265625 + 2.25x + x2 = -38.734375

Factor a perfect square on the left side:
(x + 1.125)(x + 1.125) = -38.734375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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