(X+3)(x+3)+(x-3)(x-3)-13=0

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Solution for (X+3)(x+3)+(x-3)(x-3)-13=0 equation: 


Simplifying
(X + 3)(x + 3) + (x + -3)(x + -3) + -13 = 0

Reorder the terms:
(3 + X)(x + 3) + (x + -3)(x + -3) + -13 = 0

Reorder the terms:
(3 + X)(3 + x) + (x + -3)(x + -3) + -13 = 0

Multiply (3 + X) * (3 + x)
(3(3 + x) + X(3 + x)) + (x + -3)(x + -3) + -13 = 0
((3 * 3 + x * 3) + X(3 + x)) + (x + -3)(x + -3) + -13 = 0
((9 + 3x) + X(3 + x)) + (x + -3)(x + -3) + -13 = 0
(9 + 3x + (3 * X + x * X)) + (x + -3)(x + -3) + -13 = 0
(9 + 3x + (3X + xX)) + (x + -3)(x + -3) + -13 = 0

Reorder the terms:
(9 + 3X + 3x + xX) + (x + -3)(x + -3) + -13 = 0
(9 + 3X + 3x + xX) + (x + -3)(x + -3) + -13 = 0

Reorder the terms:
9 + 3X + 3x + xX + (-3 + x)(x + -3) + -13 = 0

Reorder the terms:
9 + 3X + 3x + xX + (-3 + x)(-3 + x) + -13 = 0

Multiply (-3 + x) * (-3 + x)
9 + 3X + 3x + xX + (-3(-3 + x) + x(-3 + x)) + -13 = 0
9 + 3X + 3x + xX + ((-3 * -3 + x * -3) + x(-3 + x)) + -13 = 0
9 + 3X + 3x + xX + ((9 + -3x) + x(-3 + x)) + -13 = 0
9 + 3X + 3x + xX + (9 + -3x + (-3 * x + x * x)) + -13 = 0
9 + 3X + 3x + xX + (9 + -3x + (-3x + x2)) + -13 = 0

Combine like terms: -3x + -3x = -6x
9 + 3X + 3x + xX + (9 + -6x + x2) + -13 = 0

Reorder the terms:
9 + 9 + -13 + 3X + 3x + -6x + xX + x2 = 0

Combine like terms: 9 + 9 = 18
18 + -13 + 3X + 3x + -6x + xX + x2 = 0

Combine like terms: 18 + -13 = 5
5 + 3X + 3x + -6x + xX + x2 = 0

Combine like terms: 3x + -6x = -3x
5 + 3X + -3x + xX + x2 = 0

Solving
5 + 3X + -3x + xX + x2 = 0

Solving for variable 'X'.

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

Add '-5' to each side of the equation.
5 + 3X + -3x + xX + -5 + x2 = 0 + -5

Reorder the terms:
5 + -5 + 3X + -3x + xX + x2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3X + -3x + xX + x2 = 0 + -5
3X + -3x + xX + x2 = 0 + -5

Combine like terms: 0 + -5 = -5
3X + -3x + xX + x2 = -5

Add '3x' to each side of the equation.
3X + -3x + xX + 3x + x2 = -5 + 3x

Reorder the terms:
3X + -3x + 3x + xX + x2 = -5 + 3x

Combine like terms: -3x + 3x = 0
3X + 0 + xX + x2 = -5 + 3x
3X + xX + x2 = -5 + 3x

Add '-1x2' to each side of the equation.
3X + xX + x2 + -1x2 = -5 + 3x + -1x2

Combine like terms: x2 + -1x2 = 0
3X + xX + 0 = -5 + 3x + -1x2
3X + xX = -5 + 3x + -1x2

Reorder the terms:
5 + 3X + -3x + xX + x2 = -5 + 3x + -1x2 + 5 + -3x + x2

Reorder the terms:
5 + 3X + -3x + xX + x2 = -5 + 5 + 3x + -3x + -1x2 + x2

Combine like terms: -5 + 5 = 0
5 + 3X + -3x + xX + x2 = 0 + 3x + -3x + -1x2 + x2
5 + 3X + -3x + xX + x2 = 3x + -3x + -1x2 + x2

Combine like terms: 3x + -3x = 0
5 + 3X + -3x + xX + x2 = 0 + -1x2 + x2
5 + 3X + -3x + xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
5 + 3X + -3x + xX + x2 = 0

The solution to this equation could not be determined.

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