457x+450=3(6x+50)x(426884x+1)

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Solution for 457x+450=3(6x+50)x(426884x+1) equation:


Simplifying
457x + 450 = 3(6x + 50) * x(426884x + 1)

Reorder the terms:
450 + 457x = 3(6x + 50) * x(426884x + 1)

Reorder the terms:
450 + 457x = 3(50 + 6x) * x(426884x + 1)

Reorder the terms:
450 + 457x = 3(50 + 6x) * x(1 + 426884x)

Reorder the terms for easier multiplication:
450 + 457x = 3x(50 + 6x)(1 + 426884x)

Multiply (50 + 6x) * (1 + 426884x)
450 + 457x = 3x(50(1 + 426884x) + 6x * (1 + 426884x))
450 + 457x = 3x((1 * 50 + 426884x * 50) + 6x * (1 + 426884x))
450 + 457x = 3x((50 + 21344200x) + 6x * (1 + 426884x))
450 + 457x = 3x(50 + 21344200x + (1 * 6x + 426884x * 6x))
450 + 457x = 3x(50 + 21344200x + (6x + 2561304x2))

Combine like terms: 21344200x + 6x = 21344206x
450 + 457x = 3x(50 + 21344206x + 2561304x2)
450 + 457x = (50 * 3x + 21344206x * 3x + 2561304x2 * 3x)
450 + 457x = (150x + 64032618x2 + 7683912x3)

Solving
450 + 457x = 150x + 64032618x2 + 7683912x3

Solving for variable 'x'.

Combine like terms: 457x + -150x = 307x
450 + 307x + -64032618x2 + -7683912x3 = 150x + 64032618x2 + 7683912x3 + -150x + -64032618x2 + -7683912x3

Reorder the terms:
450 + 307x + -64032618x2 + -7683912x3 = 150x + -150x + 64032618x2 + -64032618x2 + 7683912x3 + -7683912x3

Combine like terms: 150x + -150x = 0
450 + 307x + -64032618x2 + -7683912x3 = 0 + 64032618x2 + -64032618x2 + 7683912x3 + -7683912x3
450 + 307x + -64032618x2 + -7683912x3 = 64032618x2 + -64032618x2 + 7683912x3 + -7683912x3

Combine like terms: 64032618x2 + -64032618x2 = 0
450 + 307x + -64032618x2 + -7683912x3 = 0 + 7683912x3 + -7683912x3
450 + 307x + -64032618x2 + -7683912x3 = 7683912x3 + -7683912x3

Combine like terms: 7683912x3 + -7683912x3 = 0
450 + 307x + -64032618x2 + -7683912x3 = 0

The solution to this equation could not be determined.

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