(3x+17)(x+1)(x+7)=7x+49

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Solution for (3x+17)(x+1)(x+7)=7x+49 equation: 


Simplifying
(3x + 17)(x + 1)(x + 7) = 7x + 49

Reorder the terms:
(17 + 3x)(x + 1)(x + 7) = 7x + 49

Reorder the terms:
(17 + 3x)(1 + x)(x + 7) = 7x + 49

Reorder the terms:
(17 + 3x)(1 + x)(7 + x) = 7x + 49

Multiply (17 + 3x) * (1 + x)
(17(1 + x) + 3x * (1 + x))(7 + x) = 7x + 49
((1 * 17 + x * 17) + 3x * (1 + x))(7 + x) = 7x + 49
((17 + 17x) + 3x * (1 + x))(7 + x) = 7x + 49
(17 + 17x + (1 * 3x + x * 3x))(7 + x) = 7x + 49
(17 + 17x + (3x + 3x2))(7 + x) = 7x + 49

Combine like terms: 17x + 3x = 20x
(17 + 20x + 3x2)(7 + x) = 7x + 49

Multiply (17 + 20x + 3x2) * (7 + x)
(17(7 + x) + 20x * (7 + x) + 3x2 * (7 + x)) = 7x + 49
((7 * 17 + x * 17) + 20x * (7 + x) + 3x2 * (7 + x)) = 7x + 49
((119 + 17x) + 20x * (7 + x) + 3x2 * (7 + x)) = 7x + 49
(119 + 17x + (7 * 20x + x * 20x) + 3x2 * (7 + x)) = 7x + 49
(119 + 17x + (140x + 20x2) + 3x2 * (7 + x)) = 7x + 49
(119 + 17x + 140x + 20x2 + (7 * 3x2 + x * 3x2)) = 7x + 49
(119 + 17x + 140x + 20x2 + (21x2 + 3x3)) = 7x + 49

Combine like terms: 17x + 140x = 157x
(119 + 157x + 20x2 + 21x2 + 3x3) = 7x + 49

Combine like terms: 20x2 + 21x2 = 41x2
(119 + 157x + 41x2 + 3x3) = 7x + 49

Reorder the terms:
119 + 157x + 41x2 + 3x3 = 49 + 7x

Solving
119 + 157x + 41x2 + 3x3 = 49 + 7x

Solving for variable 'x'.

Reorder the terms:
119 + -49 + 157x + -7x + 41x2 + 3x3 = 49 + 7x + -49 + -7x

Combine like terms: 119 + -49 = 70
70 + 157x + -7x + 41x2 + 3x3 = 49 + 7x + -49 + -7x

Combine like terms: 157x + -7x = 150x
70 + 150x + 41x2 + 3x3 = 49 + 7x + -49 + -7x

Reorder the terms:
70 + 150x + 41x2 + 3x3 = 49 + -49 + 7x + -7x

Combine like terms: 49 + -49 = 0
70 + 150x + 41x2 + 3x3 = 0 + 7x + -7x
70 + 150x + 41x2 + 3x3 = 7x + -7x

Combine like terms: 7x + -7x = 0
70 + 150x + 41x2 + 3x3 = 0

The solution to this equation could not be determined.

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