Solve 2x^3-x^2-x=0

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Example problems

Type your math problem... 2x^3-x^2-x=0

Question

Solve the equation

x_{1} = - \frac{1}{2}, x_{2} = 0, x_{3} = 1

Alternative Form

x_{1} = - 0.5, x_{2} = 0, x_{3} = 1

Evaluate

2 x^{3} - x^{2} - x = 0

Factor the expression

x (x - 1) (2 x + 1) = 0

Separate the equation into 3 possible cases

x = 0 x - 1 = 0 2 x + 1 = 0

Solve the equation

More Steps

Evaluate

x - 1 = 0

Move the constant to the right-hand side and change its sign

x = 0 + 1

Removing 0 doesn't change the value,so remove it from the expression

x = 1

x = 0 x = 1 2 x + 1 = 0

Solve the equation

More Steps

Evaluate

2 x + 1 = 0

Move the constant to the right-hand side and change its sign

2 x = 0 - 1

Removing 0 doesn't change the value,so remove it from the expression

2 x = - 1

Divide both sides

\frac{2 x}{2} = \frac{- 1}{2}

Divide the numbers

x = \frac{- 1}{2}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{1}{2}

x = 0 x = 1 x = - \frac{1}{2}

Solution

x_{1} = - \frac{1}{2}, x_{2} = 0, x_{3} = 1

Alternative Form

x_{1} = - 0.5, x_{2} = 0, x_{3} = 1

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