Solve 2x^6x - 7x - ScanMath

Question

Simplify the expression

2 x^{7} - 7 x

Evaluate

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

Solution

More Steps

Evaluate

2 x^{6} \times x

Multiply the terms with the same base by adding their exponents

2 x^{6 + 1}

Add the numbers

2 x^{7}

2 x^{7} - 7 x

Show Solution

x (2 x^{6} - 7)

Evaluate

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

Multiply

More Steps

Evaluate

2 x^{6} \times x

Multiply the terms with the same base by adding their exponents

2 x^{6 + 1}

Add the numbers

2 x^{7}

2 x^{7} - 7 x

Rewrite the expression

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

Solution

x (2 x^{6} - 7)

Show Solution

x_{1} = - \frac{6 224}{2}, x_{2} = 0, x_{3} = \frac{6 224}{2}

Alternative Form

x_{1} \approx - 1.232191, x_{2} = 0, x_{3} \approx 1.232191

Evaluate

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

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

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

Multiply

More Steps

Multiply the terms

2 x^{6} \times x

Multiply the terms with the same base by adding their exponents

2 x^{6 + 1}

Add the numbers

2 x^{7}

2 x^{7} - 7 x = 0

Factor the expression

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

Separate the equation into 2 possible cases

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

Solve the equation

More Steps

Evaluate

2 x^{6} - 7 = 0

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

2 x^{6} = 0 + 7

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

2 x^{6} = 7

Divide both sides

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

Divide the numbers

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

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

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

Simplify the expression

More Steps

Evaluate

6 \frac{7}{2}

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

\frac{6 7}{6 2}

Multiply by the Conjugate

\frac{6 7 \times 6 2 ^{5}}{6 2 \times 6 2 ^{5}}

Simplify

\frac{6 7 \times 6 32}{6 2 \times 6 2 ^{5}}

Multiply the numbers

\frac{6 224}{6 2 \times 6 2 ^{5}}

Multiply the numbers

\frac{6 224}{2}

x = \pm \frac{6 224}{2}

Separate the equation into 2 possible cases

x = \frac{6 224}{2} x = - \frac{6 224}{2}

x = 0 x = \frac{6 224}{2} x = - \frac{6 224}{2}

Solution

x_{1} = - \frac{6 224}{2}, x_{2} = 0, x_{3} = \frac{6 224}{2}

Alternative Form

x_{1} \approx - 1.232191, x_{2} = 0, x_{3} \approx 1.232191

Show Solution