Solve 23x^22x-1 x

Question

Simplify the expression

46 x^{3} - x

Evaluate

23 x^{2} \times 2 x - 1 \times x

Multiply

More Steps

Multiply the terms

23 x^{2} \times 2 x

Multiply the terms

46 x^{2} \times x

Multiply the terms with the same base by adding their exponents

46 x^{2 + 1}

Add the numbers

46 x^{3}

46 x^{3} - 1 \times x

Solution

46 x^{3} - x

Show Solution

Factor the expression

x (46 x^{2} - 1)

Evaluate

23 x^{2} \times 2 x - 1 \times x

Multiply

More Steps

Multiply the terms

23 x^{2} \times 2 x

Multiply the terms

46 x^{2} \times x

Multiply the terms with the same base by adding their exponents

46 x^{2 + 1}

Add the numbers

46 x^{3}

46 x^{3} - 1 \times x

Any expression multiplied by 1 remains the same

46 x^{3} - x

Rewrite the expression

x \times 46 x^{2} - x

Solution

x (46 x^{2} - 1)

Show Solution

Find the roots

x_{1} = - \frac{46}{46}, x_{2} = 0, x_{3} = \frac{46}{46}

Alternative Form

x_{1} \approx - 0.147442, x_{2} = 0, x_{3} \approx 0.147442

Evaluate

23 x^{2} \times 2 x - 1 \times x

To find the roots of the expression,set the expression equal to 0

23 x^{2} \times 2 x - 1 \times x = 0

Multiply

More Steps

Multiply the terms

23 x^{2} \times 2 x

Multiply the terms

46 x^{2} \times x

Multiply the terms with the same base by adding their exponents

46 x^{2 + 1}

Add the numbers

46 x^{3}

46 x^{3} - 1 \times x = 0

Any expression multiplied by 1 remains the same

46 x^{3} - x = 0

Factor the expression

x (46 x^{2} - 1) = 0

Separate the equation into 2 possible cases

x = 0 46 x^{2} - 1 = 0

Solve the equation

More Steps

Evaluate

46 x^{2} - 1 = 0

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

46 x^{2} = 0 + 1

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

46 x^{2} = 1

Divide both sides

\frac{46 x ^{2}}{46} = \frac{1}{46}

Divide the numbers

x^{2} = \frac{1}{46}

Take the root of both sides of the equation and remember to use both positive and negative roots

x = \pm \frac{1}{46}

Simplify the expression

More Steps

Evaluate

\frac{1}{46}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{1}{46}

Simplify the radical expression

\frac{1}{46}

Multiply by the Conjugate

\frac{46}{46 \times 46}

When a square root of an expression is multiplied by itself,the result is that expression

\frac{46}{46}

x = \pm \frac{46}{46}

Separate the equation into 2 possible cases

x = \frac{46}{46} x = - \frac{46}{46}

x = 0 x = \frac{46}{46} x = - \frac{46}{46}

Solution

x_{1} = - \frac{46}{46}, x_{2} = 0, x_{3} = \frac{46}{46}

Alternative Form

x_{1} \approx - 0.147442, x_{2} = 0, x_{3} \approx 0.147442

Show Solution