Solve -8x^2 3x^21 = -x 1

Question

Solve the equation

x_{1} = 0, x_{2} = \frac{3 9}{6}

Alternative Form

x_{1} = 0, x_{2} \approx 0.346681

Evaluate

- 8 x^{2} \times 3 x^{2} \times 1 = - x \times 1

Simplify

- 8 x^{2} \times 3 x^{2} = - x

Multiply

More Steps

Evaluate

- 8 x^{2} \times 3 x^{2}

Multiply the terms

- 24 x^{2} \times x^{2}

Multiply the terms with the same base by adding their exponents

- 24 x^{2 + 2}

Add the numbers

- 24 x^{4}

- 24 x^{4} = - x

Add or subtract both sides

- 24 x^{4} - (- x) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 24 x^{4} + x = 0

Factor the expression

x (- 24 x^{3} + 1) = 0

Separate the equation into 2 possible cases

x = 0 - 24 x^{3} + 1 = 0

Solve the equation

More Steps

Evaluate

- 24 x^{3} + 1 = 0

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

- 24 x^{3} = 0 - 1

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

- 24 x^{3} = - 1

Change the signs on both sides of the equation

24 x^{3} = 1

Divide both sides

\frac{24 x ^{3}}{24} = \frac{1}{24}

Divide the numbers

x^{3} = \frac{1}{24}

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

3 x^{3} = 3 \frac{1}{24}

Calculate

x = 3 \frac{1}{24}

Simplify the root

More Steps

Evaluate

3 \frac{1}{24}

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

\frac{3 1}{3 24}

Simplify the radical expression

\frac{1}{3 24}

Simplify the radical expression

\frac{1}{2 3 3}

Multiply by the Conjugate

\frac{3 3 ^{2}}{2 3 3 \times 3 3 ^{2}}

Simplify

\frac{3 9}{2 3 3 \times 3 3 ^{2}}

Multiply the numbers

\frac{3 9}{6}

x = \frac{3 9}{6}

x = 0 x = \frac{3 9}{6}

Solution

x_{1} = 0, x_{2} = \frac{3 9}{6}

Alternative Form

x_{1} = 0, x_{2} \approx 0.346681

Show Solution

Solve the equation

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