Solve 6x^3 -7x 1 - ScanMath

Question

Simplify the expression

6 x^{3} - 7 x

Evaluate

6 x^{3} - 7 x \times 1

Solution

6 x^{3} - 7 x

Show Solution

x (6 x^{2} - 7)

Evaluate

6 x^{3} - 7 x \times 1

Multiply the terms

6 x^{3} - 7 x

Rewrite the expression

x \times 6 x^{2} - x \times 7

Solution

x (6 x^{2} - 7)

Show Solution

x_{1} = - \frac{42}{6}, x_{2} = 0, x_{3} = \frac{42}{6}

Alternative Form

x_{1} \approx - 1.080123, x_{2} = 0, x_{3} \approx 1.080123

Evaluate

6 x^{3} - 7 x \times 1

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

6 x^{3} - 7 x \times 1 = 0

Multiply the terms

6 x^{3} - 7 x = 0

Factor the expression

x (6 x^{2} - 7) = 0

Separate the equation into 2 possible cases

x = 0 6 x^{2} - 7 = 0

Solve the equation

More Steps

Evaluate

6 x^{2} - 7 = 0

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

6 x^{2} = 0 + 7

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

6 x^{2} = 7

Divide both sides

\frac{6 x ^{2}}{6} = \frac{7}{6}

Divide the numbers

x^{2} = \frac{7}{6}

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

x = \pm \frac{7}{6}

Simplify the expression

More Steps

Evaluate

\frac{7}{6}

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

\frac{7}{6}

Multiply by the Conjugate

\frac{7 \times 6}{6 \times 6}

Multiply the numbers

\frac{42}{6 \times 6}

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

\frac{42}{6}

x = \pm \frac{42}{6}

Separate the equation into 2 possible cases

x = \frac{42}{6} x = - \frac{42}{6}

x = 0 x = \frac{42}{6} x = - \frac{42}{6}

Solution

x_{1} = - \frac{42}{6}, x_{2} = 0, x_{3} = \frac{42}{6}

Alternative Form

x_{1} \approx - 1.080123, x_{2} = 0, x_{3} \approx 1.080123

Show Solution