1008=(x+10)(x+10)(x+5)

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Solution for 1008=(x+10)(x+10)(x+5) equation: 


Simplifying
1008 = (x + 10)(x + 10)(x + 5)

Reorder the terms:
1008 = (10 + x)(x + 10)(x + 5)

Reorder the terms:
1008 = (10 + x)(10 + x)(x + 5)

Reorder the terms:
1008 = (10 + x)(10 + x)(5 + x)

Multiply (10 + x) * (10 + x)
1008 = (10(10 + x) + x(10 + x))(5 + x)
1008 = ((10 * 10 + x * 10) + x(10 + x))(5 + x)
1008 = ((100 + 10x) + x(10 + x))(5 + x)
1008 = (100 + 10x + (10 * x + x * x))(5 + x)
1008 = (100 + 10x + (10x + x2))(5 + x)

Combine like terms: 10x + 10x = 20x
1008 = (100 + 20x + x2)(5 + x)

Multiply (100 + 20x + x2) * (5 + x)
1008 = (100(5 + x) + 20x * (5 + x) + x2(5 + x))
1008 = ((5 * 100 + x * 100) + 20x * (5 + x) + x2(5 + x))
1008 = ((500 + 100x) + 20x * (5 + x) + x2(5 + x))
1008 = (500 + 100x + (5 * 20x + x * 20x) + x2(5 + x))
1008 = (500 + 100x + (100x + 20x2) + x2(5 + x))
1008 = (500 + 100x + 100x + 20x2 + (5 * x2 + x * x2))
1008 = (500 + 100x + 100x + 20x2 + (5x2 + x3))

Combine like terms: 100x + 100x = 200x
1008 = (500 + 200x + 20x2 + 5x2 + x3)

Combine like terms: 20x2 + 5x2 = 25x2
1008 = (500 + 200x + 25x2 + x3)

Solving
1008 = 500 + 200x + 25x2 + x3

Solving for variable 'x'.

Combine like terms: 1008 + -500 = 508
508 + -200x + -25x2 + -1x3 = 500 + 200x + 25x2 + x3 + -500 + -200x + -25x2 + -1x3

Reorder the terms:
508 + -200x + -25x2 + -1x3 = 500 + -500 + 200x + -200x + 25x2 + -25x2 + x3 + -1x3

Combine like terms: 500 + -500 = 0
508 + -200x + -25x2 + -1x3 = 0 + 200x + -200x + 25x2 + -25x2 + x3 + -1x3
508 + -200x + -25x2 + -1x3 = 200x + -200x + 25x2 + -25x2 + x3 + -1x3

Combine like terms: 200x + -200x = 0
508 + -200x + -25x2 + -1x3 = 0 + 25x2 + -25x2 + x3 + -1x3
508 + -200x + -25x2 + -1x3 = 25x2 + -25x2 + x3 + -1x3

Combine like terms: 25x2 + -25x2 = 0
508 + -200x + -25x2 + -1x3 = 0 + x3 + -1x3
508 + -200x + -25x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
508 + -200x + -25x2 + -1x3 = 0

The solution to this equation could not be determined.

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