9x^2+63x+120=0

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Solution for 9x^2+63x+120=0 equation: 


Simplifying
9x2 + 63x + 120 = 0

Reorder the terms:
120 + 63x + 9x2 = 0

Solving
120 + 63x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(40 + 21x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(40 + 21x + 3x2)' equal to zero and attempt to solve:

Simplifying
40 + 21x + 3x2 = 0

Solving
40 + 21x + 3x2 = 0

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

Divide each side by '3'.
13.33333333 + 7x + x2 = 0

Move the constant term to the right:

Add '-13.33333333' to each side of the equation.
13.33333333 + 7x + -13.33333333 + x2 = 0 + -13.33333333

Reorder the terms:
13.33333333 + -13.33333333 + 7x + x2 = 0 + -13.33333333

Combine like terms: 13.33333333 + -13.33333333 = 0.00000000
0.00000000 + 7x + x2 = 0 + -13.33333333
7x + x2 = 0 + -13.33333333

Combine like terms: 0 + -13.33333333 = -13.33333333
7x + x2 = -13.33333333

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -13.33333333 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -13.33333333 + 12.25

Combine like terms: -13.33333333 + 12.25 = -1.08333333
12.25 + 7x + x2 = -1.08333333

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -1.08333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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