(a)(x^2-x-1)=cx^3+bx^2+1

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


Simplifying
(a)(x2 + -1x + -1) = cx3 + bx2 + 1

Reorder the terms:
a(-1 + -1x + x2) = cx3 + bx2 + 1
(-1 * a + -1x * a + x2 * a) = cx3 + bx2 + 1
(-1a + -1ax + ax2) = cx3 + bx2 + 1

Reorder the terms:
-1a + -1ax + ax2 = 1 + bx2 + cx3

Solving
-1a + -1ax + ax2 = 1 + bx2 + cx3

Solving for variable 'a'.

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

Reorder the terms:
-1 + -1a + -1ax + ax2 + -1bx2 + -1cx3 = 1 + bx2 + cx3 + -1 + -1bx2 + -1cx3

Reorder the terms:
-1 + -1a + -1ax + ax2 + -1bx2 + -1cx3 = 1 + -1 + bx2 + -1bx2 + cx3 + -1cx3

Combine like terms: 1 + -1 = 0
-1 + -1a + -1ax + ax2 + -1bx2 + -1cx3 = 0 + bx2 + -1bx2 + cx3 + -1cx3
-1 + -1a + -1ax + ax2 + -1bx2 + -1cx3 = bx2 + -1bx2 + cx3 + -1cx3

Combine like terms: bx2 + -1bx2 = 0
-1 + -1a + -1ax + ax2 + -1bx2 + -1cx3 = 0 + cx3 + -1cx3
-1 + -1a + -1ax + ax2 + -1bx2 + -1cx3 = cx3 + -1cx3

Combine like terms: cx3 + -1cx3 = 0
-1 + -1a + -1ax + ax2 + -1bx2 + -1cx3 = 0

The solution to this equation could not be determined.

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