(x+10)(x+12)(x+15)(x+18)=2x^2

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Solution for (x+10)(x+12)(x+15)(x+18)=2x^2 equation: 


Simplifying
(x + 10)(x + 12)(x + 15)(x + 18) = 2x2

Reorder the terms:
(10 + x)(x + 12)(x + 15)(x + 18) = 2x2

Reorder the terms:
(10 + x)(12 + x)(x + 15)(x + 18) = 2x2

Reorder the terms:
(10 + x)(12 + x)(15 + x)(x + 18) = 2x2

Reorder the terms:
(10 + x)(12 + x)(15 + x)(18 + x) = 2x2

Multiply (10 + x) * (12 + x)
(10(12 + x) + x(12 + x))(15 + x)(18 + x) = 2x2
((12 * 10 + x * 10) + x(12 + x))(15 + x)(18 + x) = 2x2
((120 + 10x) + x(12 + x))(15 + x)(18 + x) = 2x2
(120 + 10x + (12 * x + x * x))(15 + x)(18 + x) = 2x2
(120 + 10x + (12x + x2))(15 + x)(18 + x) = 2x2

Combine like terms: 10x + 12x = 22x
(120 + 22x + x2)(15 + x)(18 + x) = 2x2

Multiply (120 + 22x + x2) * (15 + x)
(120(15 + x) + 22x * (15 + x) + x2(15 + x))(18 + x) = 2x2
((15 * 120 + x * 120) + 22x * (15 + x) + x2(15 + x))(18 + x) = 2x2
((1800 + 120x) + 22x * (15 + x) + x2(15 + x))(18 + x) = 2x2
(1800 + 120x + (15 * 22x + x * 22x) + x2(15 + x))(18 + x) = 2x2
(1800 + 120x + (330x + 22x2) + x2(15 + x))(18 + x) = 2x2
(1800 + 120x + 330x + 22x2 + (15 * x2 + x * x2))(18 + x) = 2x2
(1800 + 120x + 330x + 22x2 + (15x2 + x3))(18 + x) = 2x2

Combine like terms: 120x + 330x = 450x
(1800 + 450x + 22x2 + 15x2 + x3)(18 + x) = 2x2

Combine like terms: 22x2 + 15x2 = 37x2
(1800 + 450x + 37x2 + x3)(18 + x) = 2x2

Multiply (1800 + 450x + 37x2 + x3) * (18 + x)
(1800(18 + x) + 450x * (18 + x) + 37x2 * (18 + x) + x3(18 + x)) = 2x2
((18 * 1800 + x * 1800) + 450x * (18 + x) + 37x2 * (18 + x) + x3(18 + x)) = 2x2
((32400 + 1800x) + 450x * (18 + x) + 37x2 * (18 + x) + x3(18 + x)) = 2x2
(32400 + 1800x + (18 * 450x + x * 450x) + 37x2 * (18 + x) + x3(18 + x)) = 2x2
(32400 + 1800x + (8100x + 450x2) + 37x2 * (18 + x) + x3(18 + x)) = 2x2
(32400 + 1800x + 8100x + 450x2 + (18 * 37x2 + x * 37x2) + x3(18 + x)) = 2x2
(32400 + 1800x + 8100x + 450x2 + (666x2 + 37x3) + x3(18 + x)) = 2x2
(32400 + 1800x + 8100x + 450x2 + 666x2 + 37x3 + (18 * x3 + x * x3)) = 2x2
(32400 + 1800x + 8100x + 450x2 + 666x2 + 37x3 + (18x3 + x4)) = 2x2

Combine like terms: 1800x + 8100x = 9900x
(32400 + 9900x + 450x2 + 666x2 + 37x3 + 18x3 + x4) = 2x2

Combine like terms: 450x2 + 666x2 = 1116x2
(32400 + 9900x + 1116x2 + 37x3 + 18x3 + x4) = 2x2

Combine like terms: 37x3 + 18x3 = 55x3
(32400 + 9900x + 1116x2 + 55x3 + x4) = 2x2

Solving
32400 + 9900x + 1116x2 + 55x3 + x4 = 2x2

Solving for variable 'x'.

Reorder the terms:
32400 + 9900x + 1116x2 + -2x2 + 55x3 + x4 = 2x2 + -2x2

Combine like terms: 1116x2 + -2x2 = 1114x2
32400 + 9900x + 1114x2 + 55x3 + x4 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
32400 + 9900x + 1114x2 + 55x3 + x4 = 0

The solution to this equation could not be determined.

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