(X+3)(x+3)=x^2-3(1-x)

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Solution for (X+3)(x+3)=x^2-3(1-x) equation:


Simplifying
(X + 3)(x + 3) = x2 + -3(1 + -1x)

Reorder the terms:
(3 + X)(x + 3) = x2 + -3(1 + -1x)

Reorder the terms:
(3 + X)(3 + x) = x2 + -3(1 + -1x)

Multiply (3 + X) * (3 + x)
(3(3 + x) + X(3 + x)) = x2 + -3(1 + -1x)
((3 * 3 + x * 3) + X(3 + x)) = x2 + -3(1 + -1x)
((9 + 3x) + X(3 + x)) = x2 + -3(1 + -1x)
(9 + 3x + (3 * X + x * X)) = x2 + -3(1 + -1x)
(9 + 3x + (3X + xX)) = x2 + -3(1 + -1x)

Reorder the terms:
(9 + 3X + 3x + xX) = x2 + -3(1 + -1x)
(9 + 3X + 3x + xX) = x2 + -3(1 + -1x)
9 + 3X + 3x + xX = x2 + (1 * -3 + -1x * -3)
9 + 3X + 3x + xX = x2 + (-3 + 3x)

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

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

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

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

Solving
9 + 3X + xX = -3 + x2

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 + -9 + xX = -3 + -9 + x2

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

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

Combine like terms: -3 + -9 = -12
3X + xX = -12 + x2

Reorder the terms:
12 + 3X + xX + -1x2 = -12 + x2 + 12 + -1x2

Reorder the terms:
12 + 3X + xX + -1x2 = -12 + 12 + x2 + -1x2

Combine like terms: -12 + 12 = 0
12 + 3X + xX + -1x2 = 0 + x2 + -1x2
12 + 3X + xX + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + 3X + xX + -1x2 = 0

The solution to this equation could not be determined.

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