Solve -2(x 1) 3x-1

Question

Simplify the expression

- 6 x^{2} - 1

Evaluate

- 2 (x \times 1) \times 3 x - 1

Remove the parentheses

- 2 x \times 1 \times 3 x - 1

Solution

More Steps

Evaluate

- 2 x \times 1 \times 3 x

Rewrite the expression

- 2 x \times 3 x

Multiply the terms

- 6 x \times x

Multiply the terms

- 6 x^{2}

- 6 x^{2} - 1

Show Solution

x_{1} = - \frac{6}{6} i, x_{2} = \frac{6}{6} i

Alternative Form

x_{1} \approx - 0.408248 i, x_{2} \approx 0.408248 i

Evaluate

- 2 (x \times 1) \times 3 x - 1

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

- 2 (x \times 1) \times 3 x - 1 = 0

Any expression multiplied by 1 remains the same

- 2 x \times 3 x - 1 = 0

Multiply

More Steps

Multiply the terms

- 2 x \times 3 x

Multiply the terms

- 6 x \times x

Multiply the terms

- 6 x^{2}

- 6 x^{2} - 1 = 0

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

- 6 x^{2} = 0 + 1

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

- 6 x^{2} = 1

Change the signs on both sides of the equation

6 x^{2} = - 1

Divide both sides

\frac{6 x ^{2}}{6} = \frac{- 1}{6}

Divide the numbers

x^{2} = \frac{- 1}{6}

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

x^{2} = - \frac{1}{6}

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

x = \pm - \frac{1}{6}

Simplify the expression

More Steps

Evaluate

- \frac{1}{6}

Evaluate the power

\frac{1}{6} \times - 1

Evaluate the power

\frac{1}{6} \times i

Evaluate the power

More Steps

Evaluate

\frac{1}{6}

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

\frac{1}{6}

Simplify the radical expression

\frac{1}{6}

Multiply by the Conjugate

\frac{6}{6 \times 6}

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

\frac{6}{6}

\frac{6}{6} i

x = \pm \frac{6}{6} i

Separate the equation into 2 possible cases

x = \frac{6}{6} i x = - \frac{6}{6} i

Solution

x_{1} = - \frac{6}{6} i, x_{2} = \frac{6}{6} i

Alternative Form

x_{1} \approx - 0.408248 i, x_{2} \approx 0.408248 i

Show Solution