(x+2)(x+4)(x+5)(x+10)=990x^2

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Solution for (x+2)(x+4)(x+5)(x+10)=990x^2 equation: 


Simplifying
(x + 2)(x + 4)(x + 5)(x + 10) = 990x2

Reorder the terms:
(2 + x)(x + 4)(x + 5)(x + 10) = 990x2

Reorder the terms:
(2 + x)(4 + x)(x + 5)(x + 10) = 990x2

Reorder the terms:
(2 + x)(4 + x)(5 + x)(x + 10) = 990x2

Reorder the terms:
(2 + x)(4 + x)(5 + x)(10 + x) = 990x2

Multiply (2 + x) * (4 + x)
(2(4 + x) + x(4 + x))(5 + x)(10 + x) = 990x2
((4 * 2 + x * 2) + x(4 + x))(5 + x)(10 + x) = 990x2
((8 + 2x) + x(4 + x))(5 + x)(10 + x) = 990x2
(8 + 2x + (4 * x + x * x))(5 + x)(10 + x) = 990x2
(8 + 2x + (4x + x2))(5 + x)(10 + x) = 990x2

Combine like terms: 2x + 4x = 6x
(8 + 6x + x2)(5 + x)(10 + x) = 990x2

Multiply (8 + 6x + x2) * (5 + x)
(8(5 + x) + 6x * (5 + x) + x2(5 + x))(10 + x) = 990x2
((5 * 8 + x * 8) + 6x * (5 + x) + x2(5 + x))(10 + x) = 990x2
((40 + 8x) + 6x * (5 + x) + x2(5 + x))(10 + x) = 990x2
(40 + 8x + (5 * 6x + x * 6x) + x2(5 + x))(10 + x) = 990x2
(40 + 8x + (30x + 6x2) + x2(5 + x))(10 + x) = 990x2
(40 + 8x + 30x + 6x2 + (5 * x2 + x * x2))(10 + x) = 990x2
(40 + 8x + 30x + 6x2 + (5x2 + x3))(10 + x) = 990x2

Combine like terms: 8x + 30x = 38x
(40 + 38x + 6x2 + 5x2 + x3)(10 + x) = 990x2

Combine like terms: 6x2 + 5x2 = 11x2
(40 + 38x + 11x2 + x3)(10 + x) = 990x2

Multiply (40 + 38x + 11x2 + x3) * (10 + x)
(40(10 + x) + 38x * (10 + x) + 11x2 * (10 + x) + x3(10 + x)) = 990x2
((10 * 40 + x * 40) + 38x * (10 + x) + 11x2 * (10 + x) + x3(10 + x)) = 990x2
((400 + 40x) + 38x * (10 + x) + 11x2 * (10 + x) + x3(10 + x)) = 990x2
(400 + 40x + (10 * 38x + x * 38x) + 11x2 * (10 + x) + x3(10 + x)) = 990x2
(400 + 40x + (380x + 38x2) + 11x2 * (10 + x) + x3(10 + x)) = 990x2
(400 + 40x + 380x + 38x2 + (10 * 11x2 + x * 11x2) + x3(10 + x)) = 990x2
(400 + 40x + 380x + 38x2 + (110x2 + 11x3) + x3(10 + x)) = 990x2
(400 + 40x + 380x + 38x2 + 110x2 + 11x3 + (10 * x3 + x * x3)) = 990x2
(400 + 40x + 380x + 38x2 + 110x2 + 11x3 + (10x3 + x4)) = 990x2

Combine like terms: 40x + 380x = 420x
(400 + 420x + 38x2 + 110x2 + 11x3 + 10x3 + x4) = 990x2

Combine like terms: 38x2 + 110x2 = 148x2
(400 + 420x + 148x2 + 11x3 + 10x3 + x4) = 990x2

Combine like terms: 11x3 + 10x3 = 21x3
(400 + 420x + 148x2 + 21x3 + x4) = 990x2

Solving
400 + 420x + 148x2 + 21x3 + x4 = 990x2

Solving for variable 'x'.

Reorder the terms:
400 + 420x + 148x2 + -990x2 + 21x3 + x4 = 990x2 + -990x2

Combine like terms: 148x2 + -990x2 = -842x2
400 + 420x + -842x2 + 21x3 + x4 = 990x2 + -990x2

Combine like terms: 990x2 + -990x2 = 0
400 + 420x + -842x2 + 21x3 + x4 = 0

The solution to this equation could not be determined.

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