(x^3-10x^2+35x-38)=(x^2+8x+19)

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Solution for (x^3-10x^2+35x-38)=(x^2+8x+19) equation:


Simplifying
(x3 + -10x2 + 35x + -38) = (x2 + 8x + 19)

Reorder the terms:
(-38 + 35x + -10x2 + x3) = (x2 + 8x + 19)

Remove parenthesis around (-38 + 35x + -10x2 + x3)
-38 + 35x + -10x2 + x3 = (x2 + 8x + 19)

Reorder the terms:
-38 + 35x + -10x2 + x3 = (19 + 8x + x2)

Remove parenthesis around (19 + 8x + x2)
-38 + 35x + -10x2 + x3 = 19 + 8x + x2

Solving
-38 + 35x + -10x2 + x3 = 19 + 8x + x2

Solving for variable 'x'.

Reorder the terms:
-38 + -19 + 35x + -8x + -10x2 + -1x2 + x3 = 19 + 8x + x2 + -19 + -8x + -1x2

Combine like terms: -38 + -19 = -57
-57 + 35x + -8x + -10x2 + -1x2 + x3 = 19 + 8x + x2 + -19 + -8x + -1x2

Combine like terms: 35x + -8x = 27x
-57 + 27x + -10x2 + -1x2 + x3 = 19 + 8x + x2 + -19 + -8x + -1x2

Combine like terms: -10x2 + -1x2 = -11x2
-57 + 27x + -11x2 + x3 = 19 + 8x + x2 + -19 + -8x + -1x2

Reorder the terms:
-57 + 27x + -11x2 + x3 = 19 + -19 + 8x + -8x + x2 + -1x2

Combine like terms: 19 + -19 = 0
-57 + 27x + -11x2 + x3 = 0 + 8x + -8x + x2 + -1x2
-57 + 27x + -11x2 + x3 = 8x + -8x + x2 + -1x2

Combine like terms: 8x + -8x = 0
-57 + 27x + -11x2 + x3 = 0 + x2 + -1x2
-57 + 27x + -11x2 + x3 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-57 + 27x + -11x2 + x3 = 0

The solution to this equation could not be determined.

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