x^3-ax^2-5x+5a=0

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Solution for x^3-ax^2-5x+5a=0 equation:


Simplifying
x3 + -1ax2 + -5x + 5a = 0

Reorder the terms:
5a + -1ax2 + -5x + x3 = 0

Solving
5a + -1ax2 + -5x + x3 = 0

Solving for variable 'a'.

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

Add '5x' to each side of the equation.
5a + -1ax2 + -5x + 5x + x3 = 0 + 5x

Combine like terms: -5x + 5x = 0
5a + -1ax2 + 0 + x3 = 0 + 5x
5a + -1ax2 + x3 = 0 + 5x
Remove the zero:
5a + -1ax2 + x3 = 5x

Add '-1x3' to each side of the equation.
5a + -1ax2 + x3 + -1x3 = 5x + -1x3

Combine like terms: x3 + -1x3 = 0
5a + -1ax2 + 0 = 5x + -1x3
5a + -1ax2 = 5x + -1x3

Reorder the terms:
5a + -1ax2 + -5x + x3 = 5x + -5x + -1x3 + x3

Combine like terms: 5x + -5x = 0
5a + -1ax2 + -5x + x3 = 0 + -1x3 + x3
5a + -1ax2 + -5x + x3 = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
5a + -1ax2 + -5x + x3 = 0

The solution to this equation could not be determined.

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