(X+3)(x+3)+5(x+3)-36=0

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Solution for (X+3)(x+3)+5(x+3)-36=0 equation:


Simplifying
(X + 3)(x + 3) + 5(x + 3) + -36 = 0

Reorder the terms:
(3 + X)(x + 3) + 5(x + 3) + -36 = 0

Reorder the terms:
(3 + X)(3 + x) + 5(x + 3) + -36 = 0

Multiply (3 + X) * (3 + x)
(3(3 + x) + X(3 + x)) + 5(x + 3) + -36 = 0
((3 * 3 + x * 3) + X(3 + x)) + 5(x + 3) + -36 = 0
((9 + 3x) + X(3 + x)) + 5(x + 3) + -36 = 0
(9 + 3x + (3 * X + x * X)) + 5(x + 3) + -36 = 0
(9 + 3x + (3X + xX)) + 5(x + 3) + -36 = 0

Reorder the terms:
(9 + 3X + 3x + xX) + 5(x + 3) + -36 = 0
(9 + 3X + 3x + xX) + 5(x + 3) + -36 = 0

Reorder the terms:
9 + 3X + 3x + xX + 5(3 + x) + -36 = 0
9 + 3X + 3x + xX + (3 * 5 + x * 5) + -36 = 0
9 + 3X + 3x + xX + (15 + 5x) + -36 = 0

Reorder the terms:
9 + 15 + -36 + 3X + 3x + 5x + xX = 0

Combine like terms: 9 + 15 = 24
24 + -36 + 3X + 3x + 5x + xX = 0

Combine like terms: 24 + -36 = -12
-12 + 3X + 3x + 5x + xX = 0

Combine like terms: 3x + 5x = 8x
-12 + 3X + 8x + xX = 0

Solving
-12 + 3X + 8x + xX = 0

Solving for variable 'X'.

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

Add '12' to each side of the equation.
-12 + 3X + 8x + 12 + xX = 0 + 12

Reorder the terms:
-12 + 12 + 3X + 8x + xX = 0 + 12

Combine like terms: -12 + 12 = 0
0 + 3X + 8x + xX = 0 + 12
3X + 8x + xX = 0 + 12

Combine like terms: 0 + 12 = 12
3X + 8x + xX = 12

Add '-8x' to each side of the equation.
3X + 8x + -8x + xX = 12 + -8x

Combine like terms: 8x + -8x = 0
3X + 0 + xX = 12 + -8x
3X + xX = 12 + -8x

Reorder the terms:
-12 + 3X + 8x + xX = 12 + -8x + -12 + 8x

Reorder the terms:
-12 + 3X + 8x + xX = 12 + -12 + -8x + 8x

Combine like terms: 12 + -12 = 0
-12 + 3X + 8x + xX = 0 + -8x + 8x
-12 + 3X + 8x + xX = -8x + 8x

Combine like terms: -8x + 8x = 0
-12 + 3X + 8x + xX = 0

The solution to this equation could not be determined.

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