9x^2+64x+144=0

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Solution for 9x^2+64x+144=0 equation:


Simplifying
9x2 + 64x + 144 = 0

Reorder the terms:
144 + 64x + 9x2 = 0

Solving
144 + 64x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
16 + 7.111111111x + x2 = 0

Move the constant term to the right:

Add '-16' to each side of the equation.
16 + 7.111111111x + -16 + x2 = 0 + -16

Reorder the terms:
16 + -16 + 7.111111111x + x2 = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 7.111111111x + x2 = 0 + -16
7.111111111x + x2 = 0 + -16

Combine like terms: 0 + -16 = -16
7.111111111x + x2 = -16

The x term is 7.111111111x.  Take half its coefficient (3.555555556).
Square it (12.64197531) and add it to both sides.

Add '12.64197531' to each side of the equation.
7.111111111x + 12.64197531 + x2 = -16 + 12.64197531

Reorder the terms:
12.64197531 + 7.111111111x + x2 = -16 + 12.64197531

Combine like terms: -16 + 12.64197531 = -3.35802469
12.64197531 + 7.111111111x + x2 = -3.35802469

Factor a perfect square on the left side:
(x + 3.555555556)(x + 3.555555556) = -3.35802469

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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