3x^2+9x=-22

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Solution for 3x^2+9x=-22 equation:


Simplifying
3x2 + 9x = -22

Reorder the terms:
9x + 3x2 = -22

Solving
9x + 3x2 = -22

Solving for variable 'x'.

Reorder the terms:
22 + 9x + 3x2 = -22 + 22

Combine like terms: -22 + 22 = 0
22 + 9x + 3x2 = 0

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

Divide each side by '3'.
7.333333333 + 3x + x2 = 0

Move the constant term to the right:

Add '-7.333333333' to each side of the equation.
7.333333333 + 3x + -7.333333333 + x2 = 0 + -7.333333333

Reorder the terms:
7.333333333 + -7.333333333 + 3x + x2 = 0 + -7.333333333

Combine like terms: 7.333333333 + -7.333333333 = 0.000000000
0.000000000 + 3x + x2 = 0 + -7.333333333
3x + x2 = 0 + -7.333333333

Combine like terms: 0 + -7.333333333 = -7.333333333
3x + x2 = -7.333333333

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -7.333333333 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -7.333333333 + 2.25

Combine like terms: -7.333333333 + 2.25 = -5.083333333
2.25 + 3x + x2 = -5.083333333

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -5.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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