(2x+1)(2x+3)(x+3)(x+4)=300

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Solution for (2x+1)(2x+3)(x+3)(x+4)=300 equation: 


Simplifying
(2x + 1)(2x + 3)(x + 3)(x + 4) = 300

Reorder the terms:
(1 + 2x)(2x + 3)(x + 3)(x + 4) = 300

Reorder the terms:
(1 + 2x)(3 + 2x)(x + 3)(x + 4) = 300

Reorder the terms:
(1 + 2x)(3 + 2x)(3 + x)(x + 4) = 300

Reorder the terms:
(1 + 2x)(3 + 2x)(3 + x)(4 + x) = 300

Multiply (1 + 2x) * (3 + 2x)
(1(3 + 2x) + 2x * (3 + 2x))(3 + x)(4 + x) = 300
((3 * 1 + 2x * 1) + 2x * (3 + 2x))(3 + x)(4 + x) = 300
((3 + 2x) + 2x * (3 + 2x))(3 + x)(4 + x) = 300
(3 + 2x + (3 * 2x + 2x * 2x))(3 + x)(4 + x) = 300
(3 + 2x + (6x + 4x2))(3 + x)(4 + x) = 300

Combine like terms: 2x + 6x = 8x
(3 + 8x + 4x2)(3 + x)(4 + x) = 300

Multiply (3 + 8x + 4x2) * (3 + x)
(3(3 + x) + 8x * (3 + x) + 4x2 * (3 + x))(4 + x) = 300
((3 * 3 + x * 3) + 8x * (3 + x) + 4x2 * (3 + x))(4 + x) = 300
((9 + 3x) + 8x * (3 + x) + 4x2 * (3 + x))(4 + x) = 300
(9 + 3x + (3 * 8x + x * 8x) + 4x2 * (3 + x))(4 + x) = 300
(9 + 3x + (24x + 8x2) + 4x2 * (3 + x))(4 + x) = 300
(9 + 3x + 24x + 8x2 + (3 * 4x2 + x * 4x2))(4 + x) = 300
(9 + 3x + 24x + 8x2 + (12x2 + 4x3))(4 + x) = 300

Combine like terms: 3x + 24x = 27x
(9 + 27x + 8x2 + 12x2 + 4x3)(4 + x) = 300

Combine like terms: 8x2 + 12x2 = 20x2
(9 + 27x + 20x2 + 4x3)(4 + x) = 300

Multiply (9 + 27x + 20x2 + 4x3) * (4 + x)
(9(4 + x) + 27x * (4 + x) + 20x2 * (4 + x) + 4x3 * (4 + x)) = 300
((4 * 9 + x * 9) + 27x * (4 + x) + 20x2 * (4 + x) + 4x3 * (4 + x)) = 300
((36 + 9x) + 27x * (4 + x) + 20x2 * (4 + x) + 4x3 * (4 + x)) = 300
(36 + 9x + (4 * 27x + x * 27x) + 20x2 * (4 + x) + 4x3 * (4 + x)) = 300
(36 + 9x + (108x + 27x2) + 20x2 * (4 + x) + 4x3 * (4 + x)) = 300
(36 + 9x + 108x + 27x2 + (4 * 20x2 + x * 20x2) + 4x3 * (4 + x)) = 300
(36 + 9x + 108x + 27x2 + (80x2 + 20x3) + 4x3 * (4 + x)) = 300
(36 + 9x + 108x + 27x2 + 80x2 + 20x3 + (4 * 4x3 + x * 4x3)) = 300
(36 + 9x + 108x + 27x2 + 80x2 + 20x3 + (16x3 + 4x4)) = 300

Combine like terms: 9x + 108x = 117x
(36 + 117x + 27x2 + 80x2 + 20x3 + 16x3 + 4x4) = 300

Combine like terms: 27x2 + 80x2 = 107x2
(36 + 117x + 107x2 + 20x3 + 16x3 + 4x4) = 300

Combine like terms: 20x3 + 16x3 = 36x3
(36 + 117x + 107x2 + 36x3 + 4x4) = 300

Solving
36 + 117x + 107x2 + 36x3 + 4x4 = 300

Solving for variable 'x'.

Reorder the terms:
36 + -300 + 117x + 107x2 + 36x3 + 4x4 = 300 + -300

Combine like terms: 36 + -300 = -264
-264 + 117x + 107x2 + 36x3 + 4x4 = 300 + -300

Combine like terms: 300 + -300 = 0
-264 + 117x + 107x2 + 36x3 + 4x4 = 0

The solution to this equation could not be determined.

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