x^3+(2-a)x+a-1=0

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Solution for x^3+(2-a)x+a-1=0 equation:


Simplifying
x3 + (2 + -1a) * x + a + -1 = 0

Reorder the terms for easier multiplication:
x3 + x(2 + -1a) + a + -1 = 0
x3 + (2 * x + -1a * x) + a + -1 = 0

Reorder the terms:
x3 + (-1ax + 2x) + a + -1 = 0
x3 + (-1ax + 2x) + a + -1 = 0

Reorder the terms:
-1 + a + -1ax + 2x + x3 = 0

Solving
-1 + a + -1ax + 2x + x3 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '1' to each side of the equation.
-1 + a + -1ax + 2x + 1 + x3 = 0 + 1

Reorder the terms:
-1 + 1 + a + -1ax + 2x + x3 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + a + -1ax + 2x + x3 = 0 + 1
a + -1ax + 2x + x3 = 0 + 1

Combine like terms: 0 + 1 = 1
a + -1ax + 2x + x3 = 1

Add '-2x' to each side of the equation.
a + -1ax + 2x + -2x + x3 = 1 + -2x

Combine like terms: 2x + -2x = 0
a + -1ax + 0 + x3 = 1 + -2x
a + -1ax + x3 = 1 + -2x

Add '-1x3' to each side of the equation.
a + -1ax + x3 + -1x3 = 1 + -2x + -1x3

Combine like terms: x3 + -1x3 = 0
a + -1ax + 0 = 1 + -2x + -1x3
a + -1ax = 1 + -2x + -1x3

Reorder the terms:
-1 + a + -1ax + 2x + x3 = 1 + -2x + -1x3 + -1 + 2x + x3

Reorder the terms:
-1 + a + -1ax + 2x + x3 = 1 + -1 + -2x + 2x + -1x3 + x3

Combine like terms: 1 + -1 = 0
-1 + a + -1ax + 2x + x3 = 0 + -2x + 2x + -1x3 + x3
-1 + a + -1ax + 2x + x3 = -2x + 2x + -1x3 + x3

Combine like terms: -2x + 2x = 0
-1 + a + -1ax + 2x + x3 = 0 + -1x3 + x3
-1 + a + -1ax + 2x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-1 + a + -1ax + 2x + x3 = 0

The solution to this equation could not be determined.

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