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

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


Simplifying
X3 + -2x2 + -5x + a = 0

Reorder the terms:
X3 + a + -5x + -2x2 = 0

Solving
X3 + a + -5x + -2x2 = 0

Solving for variable 'X'.

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

Add '-1a' to each side of the equation.
X3 + a + -5x + -1a + -2x2 = 0 + -1a

Reorder the terms:
X3 + a + -1a + -5x + -2x2 = 0 + -1a

Combine like terms: a + -1a = 0
X3 + 0 + -5x + -2x2 = 0 + -1a
X3 + -5x + -2x2 = 0 + -1a
Remove the zero:
X3 + -5x + -2x2 = -1a

Add '5x' to each side of the equation.
X3 + -5x + 5x + -2x2 = -1a + 5x

Combine like terms: -5x + 5x = 0
X3 + 0 + -2x2 = -1a + 5x
X3 + -2x2 = -1a + 5x

Add '2x2' to each side of the equation.
X3 + -2x2 + 2x2 = -1a + 5x + 2x2

Combine like terms: -2x2 + 2x2 = 0
X3 + 0 = -1a + 5x + 2x2
X3 = -1a + 5x + 2x2

Simplifying
X3 = -1a + 5x + 2x2

Reorder the terms:
X3 + a + -5x + -2x2 = -1a + a + 5x + -5x + 2x2 + -2x2

Combine like terms: -1a + a = 0
X3 + a + -5x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2
X3 + a + -5x + -2x2 = 5x + -5x + 2x2 + -2x2

Combine like terms: 5x + -5x = 0
X3 + a + -5x + -2x2 = 0 + 2x2 + -2x2
X3 + a + -5x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
X3 + a + -5x + -2x2 = 0

The solution to this equation could not be determined.

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