X(2x+3)+(3+x)(2x+3)=0

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Solution for X(2x+3)+(3+x)(2x+3)=0 equation: 


Simplifying
X(2x + 3) + (3 + x)(2x + 3) = 0

Reorder the terms:
X(3 + 2x) + (3 + x)(2x + 3) = 0
(3 * X + 2x * X) + (3 + x)(2x + 3) = 0
(3X + 2xX) + (3 + x)(2x + 3) = 0

Reorder the terms:
3X + 2xX + (3 + x)(3 + 2x) = 0

Multiply (3 + x) * (3 + 2x)
3X + 2xX + (3(3 + 2x) + x(3 + 2x)) = 0
3X + 2xX + ((3 * 3 + 2x * 3) + x(3 + 2x)) = 0
3X + 2xX + ((9 + 6x) + x(3 + 2x)) = 0
3X + 2xX + (9 + 6x + (3 * x + 2x * x)) = 0
3X + 2xX + (9 + 6x + (3x + 2x2)) = 0

Combine like terms: 6x + 3x = 9x
3X + 2xX + (9 + 9x + 2x2) = 0

Reorder the terms:
9 + 3X + 9x + 2xX + 2x2 = 0

Solving
9 + 3X + 9x + 2xX + 2x2 = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + 3X + 9x + 2xX + -9 + 2x2 = 0 + -9

Reorder the terms:
9 + -9 + 3X + 9x + 2xX + 2x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3X + 9x + 2xX + 2x2 = 0 + -9
3X + 9x + 2xX + 2x2 = 0 + -9

Combine like terms: 0 + -9 = -9
3X + 9x + 2xX + 2x2 = -9

Add '-9x' to each side of the equation.
3X + 9x + 2xX + -9x + 2x2 = -9 + -9x

Reorder the terms:
3X + 9x + -9x + 2xX + 2x2 = -9 + -9x

Combine like terms: 9x + -9x = 0
3X + 0 + 2xX + 2x2 = -9 + -9x
3X + 2xX + 2x2 = -9 + -9x

Add '-2x2' to each side of the equation.
3X + 2xX + 2x2 + -2x2 = -9 + -9x + -2x2

Combine like terms: 2x2 + -2x2 = 0
3X + 2xX + 0 = -9 + -9x + -2x2
3X + 2xX = -9 + -9x + -2x2

Reorder the terms:
9 + 3X + 9x + 2xX + 2x2 = -9 + -9x + -2x2 + 9 + 9x + 2x2

Reorder the terms:
9 + 3X + 9x + 2xX + 2x2 = -9 + 9 + -9x + 9x + -2x2 + 2x2

Combine like terms: -9 + 9 = 0
9 + 3X + 9x + 2xX + 2x2 = 0 + -9x + 9x + -2x2 + 2x2
9 + 3X + 9x + 2xX + 2x2 = -9x + 9x + -2x2 + 2x2

Combine like terms: -9x + 9x = 0
9 + 3X + 9x + 2xX + 2x2 = 0 + -2x2 + 2x2
9 + 3X + 9x + 2xX + 2x2 = -2x2 + 2x2

Combine like terms: -2x2 + 2x2 = 0
9 + 3X + 9x + 2xX + 2x2 = 0

The solution to this equation could not be determined.

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