8(x+2)(x+3)(x+5)(2x+15)-7x^2=0

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Solution for 8(x+2)(x+3)(x+5)(2x+15)-7x^2=0 equation: 


Simplifying
8(x + 2)(x + 3)(x + 5)(2x + 15) + -7x2 = 0

Reorder the terms:
8(2 + x)(x + 3)(x + 5)(2x + 15) + -7x2 = 0

Reorder the terms:
8(2 + x)(3 + x)(x + 5)(2x + 15) + -7x2 = 0

Reorder the terms:
8(2 + x)(3 + x)(5 + x)(2x + 15) + -7x2 = 0

Reorder the terms:
8(2 + x)(3 + x)(5 + x)(15 + 2x) + -7x2 = 0

Multiply (2 + x) * (3 + x)
8(2(3 + x) + x(3 + x))(5 + x)(15 + 2x) + -7x2 = 0
8((3 * 2 + x * 2) + x(3 + x))(5 + x)(15 + 2x) + -7x2 = 0
8((6 + 2x) + x(3 + x))(5 + x)(15 + 2x) + -7x2 = 0
8(6 + 2x + (3 * x + x * x))(5 + x)(15 + 2x) + -7x2 = 0
8(6 + 2x + (3x + x2))(5 + x)(15 + 2x) + -7x2 = 0

Combine like terms: 2x + 3x = 5x
8(6 + 5x + x2)(5 + x)(15 + 2x) + -7x2 = 0

Multiply (6 + 5x + x2) * (5 + x)
8(6(5 + x) + 5x * (5 + x) + x2(5 + x))(15 + 2x) + -7x2 = 0
8((5 * 6 + x * 6) + 5x * (5 + x) + x2(5 + x))(15 + 2x) + -7x2 = 0
8((30 + 6x) + 5x * (5 + x) + x2(5 + x))(15 + 2x) + -7x2 = 0
8(30 + 6x + (5 * 5x + x * 5x) + x2(5 + x))(15 + 2x) + -7x2 = 0
8(30 + 6x + (25x + 5x2) + x2(5 + x))(15 + 2x) + -7x2 = 0
8(30 + 6x + 25x + 5x2 + (5 * x2 + x * x2))(15 + 2x) + -7x2 = 0
8(30 + 6x + 25x + 5x2 + (5x2 + x3))(15 + 2x) + -7x2 = 0

Combine like terms: 6x + 25x = 31x
8(30 + 31x + 5x2 + 5x2 + x3)(15 + 2x) + -7x2 = 0

Combine like terms: 5x2 + 5x2 = 10x2
8(30 + 31x + 10x2 + x3)(15 + 2x) + -7x2 = 0

Multiply (30 + 31x + 10x2 + x3) * (15 + 2x)
8(30(15 + 2x) + 31x * (15 + 2x) + 10x2 * (15 + 2x) + x3(15 + 2x)) + -7x2 = 0
8((15 * 30 + 2x * 30) + 31x * (15 + 2x) + 10x2 * (15 + 2x) + x3(15 + 2x)) + -7x2 = 0
8((450 + 60x) + 31x * (15 + 2x) + 10x2 * (15 + 2x) + x3(15 + 2x)) + -7x2 = 0
8(450 + 60x + (15 * 31x + 2x * 31x) + 10x2 * (15 + 2x) + x3(15 + 2x)) + -7x2 = 0
8(450 + 60x + (465x + 62x2) + 10x2 * (15 + 2x) + x3(15 + 2x)) + -7x2 = 0
8(450 + 60x + 465x + 62x2 + (15 * 10x2 + 2x * 10x2) + x3(15 + 2x)) + -7x2 = 0
8(450 + 60x + 465x + 62x2 + (150x2 + 20x3) + x3(15 + 2x)) + -7x2 = 0
8(450 + 60x + 465x + 62x2 + 150x2 + 20x3 + (15 * x3 + 2x * x3)) + -7x2 = 0
8(450 + 60x + 465x + 62x2 + 150x2 + 20x3 + (15x3 + 2x4)) + -7x2 = 0

Combine like terms: 60x + 465x = 525x
8(450 + 525x + 62x2 + 150x2 + 20x3 + 15x3 + 2x4) + -7x2 = 0

Combine like terms: 62x2 + 150x2 = 212x2
8(450 + 525x + 212x2 + 20x3 + 15x3 + 2x4) + -7x2 = 0

Combine like terms: 20x3 + 15x3 = 35x3
8(450 + 525x + 212x2 + 35x3 + 2x4) + -7x2 = 0
(450 * 8 + 525x * 8 + 212x2 * 8 + 35x3 * 8 + 2x4 * 8) + -7x2 = 0
(3600 + 4200x + 1696x2 + 280x3 + 16x4) + -7x2 = 0

Reorder the terms:
3600 + 4200x + 1696x2 + -7x2 + 280x3 + 16x4 = 0

Combine like terms: 1696x2 + -7x2 = 1689x2
3600 + 4200x + 1689x2 + 280x3 + 16x4 = 0

Solving
3600 + 4200x + 1689x2 + 280x3 + 16x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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