(X+1)(2x+5)(2x+3)(x+3)=945

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Solution for (X+1)(2x+5)(2x+3)(x+3)=945 equation:


Simplifying
(X + 1)(2x + 5)(2x + 3)(x + 3) = 945

Reorder the terms:
(1 + X)(2x + 5)(2x + 3)(x + 3) = 945

Reorder the terms:
(1 + X)(5 + 2x)(2x + 3)(x + 3) = 945

Reorder the terms:
(1 + X)(5 + 2x)(3 + 2x)(x + 3) = 945

Reorder the terms:
(1 + X)(5 + 2x)(3 + 2x)(3 + x) = 945

Multiply (1 + X) * (5 + 2x)
(1(5 + 2x) + X(5 + 2x))(3 + 2x)(3 + x) = 945
((5 * 1 + 2x * 1) + X(5 + 2x))(3 + 2x)(3 + x) = 945
((5 + 2x) + X(5 + 2x))(3 + 2x)(3 + x) = 945
(5 + 2x + (5 * X + 2x * X))(3 + 2x)(3 + x) = 945
(5 + 2x + (5X + 2xX))(3 + 2x)(3 + x) = 945

Reorder the terms:
(5 + 5X + 2x + 2xX)(3 + 2x)(3 + x) = 945
(5 + 5X + 2x + 2xX)(3 + 2x)(3 + x) = 945

Multiply (5 + 5X + 2x + 2xX) * (3 + 2x)
(5(3 + 2x) + 5X * (3 + 2x) + 2x * (3 + 2x) + 2xX * (3 + 2x))(3 + x) = 945
((3 * 5 + 2x * 5) + 5X * (3 + 2x) + 2x * (3 + 2x) + 2xX * (3 + 2x))(3 + x) = 945
((15 + 10x) + 5X * (3 + 2x) + 2x * (3 + 2x) + 2xX * (3 + 2x))(3 + x) = 945
(15 + 10x + (3 * 5X + 2x * 5X) + 2x * (3 + 2x) + 2xX * (3 + 2x))(3 + x) = 945
(15 + 10x + (15X + 10xX) + 2x * (3 + 2x) + 2xX * (3 + 2x))(3 + x) = 945
(15 + 10x + 15X + 10xX + (3 * 2x + 2x * 2x) + 2xX * (3 + 2x))(3 + x) = 945
(15 + 10x + 15X + 10xX + (6x + 4x2) + 2xX * (3 + 2x))(3 + x) = 945
(15 + 10x + 15X + 10xX + 6x + 4x2 + (3 * 2xX + 2x * 2xX))(3 + x) = 945
(15 + 10x + 15X + 10xX + 6x + 4x2 + (6xX + 4x2X))(3 + x) = 945

Reorder the terms:
(15 + 15X + 10x + 6x + 10xX + 6xX + 4x2 + 4x2X)(3 + x) = 945

Combine like terms: 10x + 6x = 16x
(15 + 15X + 16x + 10xX + 6xX + 4x2 + 4x2X)(3 + x) = 945

Combine like terms: 10xX + 6xX = 16xX
(15 + 15X + 16x + 16xX + 4x2 + 4x2X)(3 + x) = 945

Multiply (15 + 15X + 16x + 16xX + 4x2 + 4x2X) * (3 + x)
(15(3 + x) + 15X * (3 + x) + 16x * (3 + x) + 16xX * (3 + x) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
((3 * 15 + x * 15) + 15X * (3 + x) + 16x * (3 + x) + 16xX * (3 + x) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
((45 + 15x) + 15X * (3 + x) + 16x * (3 + x) + 16xX * (3 + x) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
(45 + 15x + (3 * 15X + x * 15X) + 16x * (3 + x) + 16xX * (3 + x) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
(45 + 15x + (45X + 15xX) + 16x * (3 + x) + 16xX * (3 + x) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
(45 + 15x + 45X + 15xX + (3 * 16x + x * 16x) + 16xX * (3 + x) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
(45 + 15x + 45X + 15xX + (48x + 16x2) + 16xX * (3 + x) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
(45 + 15x + 45X + 15xX + 48x + 16x2 + (3 * 16xX + x * 16xX) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
(45 + 15x + 45X + 15xX + 48x + 16x2 + (48xX + 16x2X) + 4x2 * (3 + x) + 4x2X * (3 + x)) = 945
(45 + 15x + 45X + 15xX + 48x + 16x2 + 48xX + 16x2X + (3 * 4x2 + x * 4x2) + 4x2X * (3 + x)) = 945
(45 + 15x + 45X + 15xX + 48x + 16x2 + 48xX + 16x2X + (12x2 + 4x3) + 4x2X * (3 + x)) = 945
(45 + 15x + 45X + 15xX + 48x + 16x2 + 48xX + 16x2X + 12x2 + 4x3 + (3 * 4x2X + x * 4x2X)) = 945
(45 + 15x + 45X + 15xX + 48x + 16x2 + 48xX + 16x2X + 12x2 + 4x3 + (12x2X + 4x3X)) = 945

Reorder the terms:
(45 + 45X + 15x + 48x + 15xX + 48xX + 16x2 + 12x2 + 16x2X + 12x2X + 4x3 + 4x3X) = 945

Combine like terms: 15x + 48x = 63x
(45 + 45X + 63x + 15xX + 48xX + 16x2 + 12x2 + 16x2X + 12x2X + 4x3 + 4x3X) = 945

Combine like terms: 15xX + 48xX = 63xX
(45 + 45X + 63x + 63xX + 16x2 + 12x2 + 16x2X + 12x2X + 4x3 + 4x3X) = 945

Combine like terms: 16x2 + 12x2 = 28x2
(45 + 45X + 63x + 63xX + 28x2 + 16x2X + 12x2X + 4x3 + 4x3X) = 945

Combine like terms: 16x2X + 12x2X = 28x2X
(45 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X) = 945

Solving
45 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 945

Solving for variable 'X'.

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

Add '-45' to each side of the equation.
45 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + -45 + 4x3X = 945 + -45

Reorder the terms:
45 + -45 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 945 + -45

Combine like terms: 45 + -45 = 0
0 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 945 + -45
45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 945 + -45

Combine like terms: 945 + -45 = 900
45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 900

Add '-63x' to each side of the equation.
45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + -63x + 4x3X = 900 + -63x

Reorder the terms:
45X + 63x + -63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 900 + -63x

Combine like terms: 63x + -63x = 0
45X + 0 + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 900 + -63x
45X + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 900 + -63x

Add '-28x2' to each side of the equation.
45X + 63xX + 28x2 + 28x2X + 4x3 + -28x2 + 4x3X = 900 + -63x + -28x2

Reorder the terms:
45X + 63xX + 28x2 + -28x2 + 28x2X + 4x3 + 4x3X = 900 + -63x + -28x2

Combine like terms: 28x2 + -28x2 = 0
45X + 63xX + 0 + 28x2X + 4x3 + 4x3X = 900 + -63x + -28x2
45X + 63xX + 28x2X + 4x3 + 4x3X = 900 + -63x + -28x2

Add '-4x3' to each side of the equation.
45X + 63xX + 28x2X + 4x3 + -4x3 + 4x3X = 900 + -63x + -28x2 + -4x3

Combine like terms: 4x3 + -4x3 = 0
45X + 63xX + 28x2X + 0 + 4x3X = 900 + -63x + -28x2 + -4x3
45X + 63xX + 28x2X + 4x3X = 900 + -63x + -28x2 + -4x3

Reorder the terms:
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 900 + -63x + -28x2 + -4x3 + -900 + 63x + 28x2 + 4x3

Reorder the terms:
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 900 + -900 + -63x + 63x + -28x2 + 28x2 + -4x3 + 4x3

Combine like terms: 900 + -900 = 0
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 0 + -63x + 63x + -28x2 + 28x2 + -4x3 + 4x3
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = -63x + 63x + -28x2 + 28x2 + -4x3 + 4x3

Combine like terms: -63x + 63x = 0
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 0 + -28x2 + 28x2 + -4x3 + 4x3
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = -28x2 + 28x2 + -4x3 + 4x3

Combine like terms: -28x2 + 28x2 = 0
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 0 + -4x3 + 4x3
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = -4x3 + 4x3

Combine like terms: -4x3 + 4x3 = 0
-900 + 45X + 63x + 63xX + 28x2 + 28x2X + 4x3 + 4x3X = 0

The solution to this equation could not be determined.

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