(X+1)(x+4)(x+6)(x+9)=216

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Solution for (X+1)(x+4)(x+6)(x+9)=216 equation: 


Simplifying
(X + 1)(x + 4)(x + 6)(x + 9) = 216

Reorder the terms:
(1 + X)(x + 4)(x + 6)(x + 9) = 216

Reorder the terms:
(1 + X)(4 + x)(x + 6)(x + 9) = 216

Reorder the terms:
(1 + X)(4 + x)(6 + x)(x + 9) = 216

Reorder the terms:
(1 + X)(4 + x)(6 + x)(9 + x) = 216

Multiply (1 + X) * (4 + x)
(1(4 + x) + X(4 + x))(6 + x)(9 + x) = 216
((4 * 1 + x * 1) + X(4 + x))(6 + x)(9 + x) = 216
((4 + 1x) + X(4 + x))(6 + x)(9 + x) = 216
(4 + 1x + (4 * X + x * X))(6 + x)(9 + x) = 216
(4 + 1x + (4X + xX))(6 + x)(9 + x) = 216

Reorder the terms:
(4 + 4X + 1x + xX)(6 + x)(9 + x) = 216
(4 + 4X + 1x + xX)(6 + x)(9 + x) = 216

Multiply (4 + 4X + 1x + xX) * (6 + x)
(4(6 + x) + 4X * (6 + x) + 1x * (6 + x) + xX(6 + x))(9 + x) = 216
((6 * 4 + x * 4) + 4X * (6 + x) + 1x * (6 + x) + xX(6 + x))(9 + x) = 216
((24 + 4x) + 4X * (6 + x) + 1x * (6 + x) + xX(6 + x))(9 + x) = 216
(24 + 4x + (6 * 4X + x * 4X) + 1x * (6 + x) + xX(6 + x))(9 + x) = 216
(24 + 4x + (24X + 4xX) + 1x * (6 + x) + xX(6 + x))(9 + x) = 216
(24 + 4x + 24X + 4xX + (6 * 1x + x * 1x) + xX(6 + x))(9 + x) = 216
(24 + 4x + 24X + 4xX + (6x + 1x2) + xX(6 + x))(9 + x) = 216
(24 + 4x + 24X + 4xX + 6x + 1x2 + (6 * xX + x * xX))(9 + x) = 216
(24 + 4x + 24X + 4xX + 6x + 1x2 + (6xX + x2X))(9 + x) = 216

Reorder the terms:
(24 + 24X + 4x + 6x + 4xX + 6xX + 1x2 + x2X)(9 + x) = 216

Combine like terms: 4x + 6x = 10x
(24 + 24X + 10x + 4xX + 6xX + 1x2 + x2X)(9 + x) = 216

Combine like terms: 4xX + 6xX = 10xX
(24 + 24X + 10x + 10xX + 1x2 + x2X)(9 + x) = 216

Multiply (24 + 24X + 10x + 10xX + 1x2 + x2X) * (9 + x)
(24(9 + x) + 24X * (9 + x) + 10x * (9 + x) + 10xX * (9 + x) + 1x2 * (9 + x) + x2X(9 + x)) = 216
((9 * 24 + x * 24) + 24X * (9 + x) + 10x * (9 + x) + 10xX * (9 + x) + 1x2 * (9 + x) + x2X(9 + x)) = 216
((216 + 24x) + 24X * (9 + x) + 10x * (9 + x) + 10xX * (9 + x) + 1x2 * (9 + x) + x2X(9 + x)) = 216
(216 + 24x + (9 * 24X + x * 24X) + 10x * (9 + x) + 10xX * (9 + x) + 1x2 * (9 + x) + x2X(9 + x)) = 216
(216 + 24x + (216X + 24xX) + 10x * (9 + x) + 10xX * (9 + x) + 1x2 * (9 + x) + x2X(9 + x)) = 216
(216 + 24x + 216X + 24xX + (9 * 10x + x * 10x) + 10xX * (9 + x) + 1x2 * (9 + x) + x2X(9 + x)) = 216
(216 + 24x + 216X + 24xX + (90x + 10x2) + 10xX * (9 + x) + 1x2 * (9 + x) + x2X(9 + x)) = 216
(216 + 24x + 216X + 24xX + 90x + 10x2 + (9 * 10xX + x * 10xX) + 1x2 * (9 + x) + x2X(9 + x)) = 216
(216 + 24x + 216X + 24xX + 90x + 10x2 + (90xX + 10x2X) + 1x2 * (9 + x) + x2X(9 + x)) = 216
(216 + 24x + 216X + 24xX + 90x + 10x2 + 90xX + 10x2X + (9 * 1x2 + x * 1x2) + x2X(9 + x)) = 216
(216 + 24x + 216X + 24xX + 90x + 10x2 + 90xX + 10x2X + (9x2 + 1x3) + x2X(9 + x)) = 216
(216 + 24x + 216X + 24xX + 90x + 10x2 + 90xX + 10x2X + 9x2 + 1x3 + (9 * x2X + x * x2X)) = 216
(216 + 24x + 216X + 24xX + 90x + 10x2 + 90xX + 10x2X + 9x2 + 1x3 + (9x2X + x3X)) = 216

Reorder the terms:
(216 + 216X + 24x + 90x + 24xX + 90xX + 10x2 + 9x2 + 10x2X + 9x2X + 1x3 + x3X) = 216

Combine like terms: 24x + 90x = 114x
(216 + 216X + 114x + 24xX + 90xX + 10x2 + 9x2 + 10x2X + 9x2X + 1x3 + x3X) = 216

Combine like terms: 24xX + 90xX = 114xX
(216 + 216X + 114x + 114xX + 10x2 + 9x2 + 10x2X + 9x2X + 1x3 + x3X) = 216

Combine like terms: 10x2 + 9x2 = 19x2
(216 + 216X + 114x + 114xX + 19x2 + 10x2X + 9x2X + 1x3 + x3X) = 216

Combine like terms: 10x2X + 9x2X = 19x2X
(216 + 216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + x3X) = 216

Add '-216' to each side of the equation.
216 + 216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + -216 + x3X = 216 + -216

Reorder the terms:
216 + -216 + 216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + x3X = 216 + -216

Combine like terms: 216 + -216 = 0
0 + 216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + x3X = 216 + -216
216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + x3X = 216 + -216

Combine like terms: 216 + -216 = 0
216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + x3X = 0

Solving
216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + x3X = 0

Solving for variable 'X'.

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

Add '-114x' to each side of the equation.
216X + 114x + 114xX + 19x2 + 19x2X + 1x3 + -114x + x3X = 0 + -114x

Reorder the terms:
216X + 114x + -114x + 114xX + 19x2 + 19x2X + 1x3 + x3X = 0 + -114x

Combine like terms: 114x + -114x = 0
216X + 0 + 114xX + 19x2 + 19x2X + 1x3 + x3X = 0 + -114x
216X + 114xX + 19x2 + 19x2X + 1x3 + x3X = 0 + -114x
Remove the zero:
216X + 114xX + 19x2 + 19x2X + 1x3 + x3X = -114x

Add '-19x2' to each side of the equation.
216X + 114xX + 19x2 + 19x2X + 1x3 + -19x2 + x3X = -114x + -19x2

Reorder the terms:
216X + 114xX + 19x2 + -19x2 + 19x2X + 1x3 + x3X = -114x + -19x2

Combine like terms: 19x2 + -19x2 = 0
216X + 114xX + 0 + 19x2X + 1x3 + x3X = -114x + -19x2
216X + 114xX + 19x2X + 1x3 + x3X = -114x + -19x2

Add '-1x3' to each side of the equation.
216X + 114xX + 19x2X + 1x3 + -1x3 + x3X = -114x + -19x2 + -1x3

Combine like terms: 1x3 + -1x3 = 0
216X + 114xX + 19x2X + 0 + x3X = -114x + -19x2 + -1x3
216X + 114xX + 19x2X + x3X = -114x + -19x2 + -1x3

Reorder the terms:
216X + 114x + 114xX + 19x2 + 19x2X + x3 + x3X = -114x + -19x2 + -1x3 + 114x + 19x2 + x3

Reorder the terms:
216X + 114x + 114xX + 19x2 + 19x2X + x3 + x3X = -114x + 114x + -19x2 + 19x2 + -1x3 + x3

Combine like terms: -114x + 114x = 0
216X + 114x + 114xX + 19x2 + 19x2X + x3 + x3X = 0 + -19x2 + 19x2 + -1x3 + x3
216X + 114x + 114xX + 19x2 + 19x2X + x3 + x3X = -19x2 + 19x2 + -1x3 + x3

Combine like terms: -19x2 + 19x2 = 0
216X + 114x + 114xX + 19x2 + 19x2X + x3 + x3X = 0 + -1x3 + x3
216X + 114x + 114xX + 19x2 + 19x2X + x3 + x3X = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
216X + 114x + 114xX + 19x2 + 19x2X + x3 + x3X = 0

The solution to this equation could not be determined.

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