3x^2+9x+27=9

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Solution for 3x^2+9x+27=9 equation:


Simplifying
3x2 + 9x + 27 = 9

Reorder the terms:
27 + 9x + 3x2 = 9

Solving
27 + 9x + 3x2 = 9

Solving for variable 'x'.

Reorder the terms:
27 + -9 + 9x + 3x2 = 9 + -9

Combine like terms: 27 + -9 = 18
18 + 9x + 3x2 = 9 + -9

Combine like terms: 9 + -9 = 0
18 + 9x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(6 + 3x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(6 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
6 + 3x + x2 = 0

Solving
6 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 3x + -6 + x2 = 0 + -6

Reorder the terms:
6 + -6 + 3x + x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 3x + x2 = 0 + -6
3x + x2 = 0 + -6

Combine like terms: 0 + -6 = -6
3x + x2 = -6

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 = -6 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -6 + 2.25

Combine like terms: -6 + 2.25 = -3.75
2.25 + 3x + x2 = -3.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -3.75

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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