Solve x(x^22x 1)=2(x 1)

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Type your math problem... x(x^22x 1)=2(x 1)

Question

Solve the equation

x_{1} = 0, x_{2} = 1

Evaluate

x (x^{2} \times 2 x \times 1) = 2 (x \times 1)

Remove the parentheses

x \times x^{2} \times 2 x \times 1 = 2 x \times 1

Simplify

x \times x^{2} \times x \times 1 = x \times 1

Simplify

x \times x^{2} \times x = x

Multiply

More Steps

Evaluate

x \times x^{2} \times x

Multiply the terms with the same base by adding their exponents

x^{1 + 2 + 1}

Add the numbers

x^{4}

x^{4} = x

Move the expression to the left side

x^{4} - x = 0

Factor the expression

x (x^{3} - 1) = 0

Separate the equation into 2 possible cases

x = 0 x^{3} - 1 = 0

Solve the equation

More Steps

Evaluate

x^{3} - 1 = 0

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

x^{3} = 0 + 1

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

x^{3} = 1

Take the 3 -th root on both sides of the equation

3 x^{3} = 31

Calculate

x = 31

Simplify the root

x = 1

x = 0 x = 1

Solution

x_{1} = 0, x_{2} = 1

Show Solution

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