x^2+6(X+3)(x+3)=12x+85

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Solution for x^2+6(X+3)(x+3)=12x+85 equation: 


Simplifying
x2 + 6(X + 3)(x + 3) = 12x + 85

Reorder the terms:
x2 + 6(3 + X)(x + 3) = 12x + 85

Reorder the terms:
x2 + 6(3 + X)(3 + x) = 12x + 85

Multiply (3 + X) * (3 + x)
x2 + 6(3(3 + x) + X(3 + x)) = 12x + 85
x2 + 6((3 * 3 + x * 3) + X(3 + x)) = 12x + 85
x2 + 6((9 + 3x) + X(3 + x)) = 12x + 85
x2 + 6(9 + 3x + (3 * X + x * X)) = 12x + 85
x2 + 6(9 + 3x + (3X + xX)) = 12x + 85

Reorder the terms:
x2 + 6(9 + 3X + 3x + xX) = 12x + 85
x2 + 6(9 + 3X + 3x + xX) = 12x + 85
x2 + (9 * 6 + 3X * 6 + 3x * 6 + xX * 6) = 12x + 85
x2 + (54 + 18X + 18x + 6xX) = 12x + 85

Reorder the terms:
54 + 18X + 18x + 6xX + x2 = 12x + 85

Reorder the terms:
54 + 18X + 18x + 6xX + x2 = 85 + 12x

Solving
54 + 18X + 18x + 6xX + x2 = 85 + 12x

Solving for variable 'X'.

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

Add '-54' to each side of the equation.
54 + 18X + 18x + 6xX + -54 + x2 = 85 + -54 + 12x

Reorder the terms:
54 + -54 + 18X + 18x + 6xX + x2 = 85 + -54 + 12x

Combine like terms: 54 + -54 = 0
0 + 18X + 18x + 6xX + x2 = 85 + -54 + 12x
18X + 18x + 6xX + x2 = 85 + -54 + 12x

Combine like terms: 85 + -54 = 31
18X + 18x + 6xX + x2 = 31 + 12x

Add '-18x' to each side of the equation.
18X + 18x + 6xX + -18x + x2 = 31 + 12x + -18x

Reorder the terms:
18X + 18x + -18x + 6xX + x2 = 31 + 12x + -18x

Combine like terms: 18x + -18x = 0
18X + 0 + 6xX + x2 = 31 + 12x + -18x
18X + 6xX + x2 = 31 + 12x + -18x

Combine like terms: 12x + -18x = -6x
18X + 6xX + x2 = 31 + -6x

Add '-1x2' to each side of the equation.
18X + 6xX + x2 + -1x2 = 31 + -6x + -1x2

Combine like terms: x2 + -1x2 = 0
18X + 6xX + 0 = 31 + -6x + -1x2
18X + 6xX = 31 + -6x + -1x2

Reorder the terms:
-31 + 18X + 6x + 6xX + x2 = 31 + -6x + -1x2 + -31 + 6x + x2

Reorder the terms:
-31 + 18X + 6x + 6xX + x2 = 31 + -31 + -6x + 6x + -1x2 + x2

Combine like terms: 31 + -31 = 0
-31 + 18X + 6x + 6xX + x2 = 0 + -6x + 6x + -1x2 + x2
-31 + 18X + 6x + 6xX + x2 = -6x + 6x + -1x2 + x2

Combine like terms: -6x + 6x = 0
-31 + 18X + 6x + 6xX + x2 = 0 + -1x2 + x2
-31 + 18X + 6x + 6xX + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-31 + 18X + 6x + 6xX + x2 = 0

The solution to this equation could not be determined.

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