3(x-1)-2(x^2+2x+3)-5(x+9)=0

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Solution for 3(x-1)-2(x^2+2x+3)-5(x+9)=0 equation: 


Simplifying
3(x + -1) + -2(x2 + 2x + 3) + -5(x + 9) = 0

Reorder the terms:
3(-1 + x) + -2(x2 + 2x + 3) + -5(x + 9) = 0
(-1 * 3 + x * 3) + -2(x2 + 2x + 3) + -5(x + 9) = 0
(-3 + 3x) + -2(x2 + 2x + 3) + -5(x + 9) = 0

Reorder the terms:
-3 + 3x + -2(3 + 2x + x2) + -5(x + 9) = 0
-3 + 3x + (3 * -2 + 2x * -2 + x2 * -2) + -5(x + 9) = 0
-3 + 3x + (-6 + -4x + -2x2) + -5(x + 9) = 0

Reorder the terms:
-3 + 3x + -6 + -4x + -2x2 + -5(9 + x) = 0
-3 + 3x + -6 + -4x + -2x2 + (9 * -5 + x * -5) = 0
-3 + 3x + -6 + -4x + -2x2 + (-45 + -5x) = 0

Reorder the terms:
-3 + -6 + -45 + 3x + -4x + -5x + -2x2 = 0

Combine like terms: -3 + -6 = -9
-9 + -45 + 3x + -4x + -5x + -2x2 = 0

Combine like terms: -9 + -45 = -54
-54 + 3x + -4x + -5x + -2x2 = 0

Combine like terms: 3x + -4x = -1x
-54 + -1x + -5x + -2x2 = 0

Combine like terms: -1x + -5x = -6x
-54 + -6x + -2x2 = 0

Solving
-54 + -6x + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(27 + 3x + x2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(27 + 3x + x2)' equal to zero and attempt to solve:

Simplifying
27 + 3x + x2 = 0

Solving
27 + 3x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-27' to each side of the equation.
27 + 3x + -27 + x2 = 0 + -27

Reorder the terms:
27 + -27 + 3x + x2 = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 3x + x2 = 0 + -27
3x + x2 = 0 + -27

Combine like terms: 0 + -27 = -27
3x + x2 = -27

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 = -27 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -27 + 2.25

Combine like terms: -27 + 2.25 = -24.75
2.25 + 3x + x2 = -24.75

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -24.75

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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