Solve 10x8-8x^57 - ScanMath

Question

Simplify the expression

80 x - 56 x^{5}

Evaluate

10 x \times 8 - 8 x^{5} \times 7

Multiply the terms

80 x - 8 x^{5} \times 7

Solution

80 x - 56 x^{5}

Show Solution

8 x (10 - 7 x^{4})

Evaluate

10 x \times 8 - 8 x^{5} \times 7

Multiply the terms

80 x - 8 x^{5} \times 7

Multiply the terms

80 x - 56 x^{5}

Rewrite the expression

8 x \times 10 - 8 x \times 7 x^{4}

Solution

8 x (10 - 7 x^{4})

Show Solution

x_{1} = - \frac{4 3430}{7}, x_{2} = 0, x_{3} = \frac{4 3430}{7}

Alternative Form

x_{1} \approx - 1.093265, x_{2} = 0, x_{3} \approx 1.093265

Evaluate

10 x \times 8 - 8 x^{5} \times 7

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

10 x \times 8 - 8 x^{5} \times 7 = 0

Multiply the terms

80 x - 8 x^{5} \times 7 = 0

Multiply the terms

80 x - 56 x^{5} = 0

Factor the expression

8 x (10 - 7 x^{4}) = 0

Divide both sides

x (10 - 7 x^{4}) = 0

Separate the equation into 2 possible cases

x = 0 10 - 7 x^{4} = 0

Solve the equation

More Steps

Evaluate

10 - 7 x^{4} = 0

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

- 7 x^{4} = 0 - 10

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

- 7 x^{4} = - 10

Change the signs on both sides of the equation

7 x^{4} = 10

Divide both sides

\frac{7 x ^{4}}{7} = \frac{10}{7}

Divide the numbers

x^{4} = \frac{10}{7}

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

x = \pm 4 \frac{10}{7}

Simplify the expression

More Steps

Evaluate

4 \frac{10}{7}

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

\frac{4 10}{4 7}

Multiply by the Conjugate

\frac{4 10 \times 4 7 ^{3}}{4 7 \times 4 7 ^{3}}

Simplify

\frac{4 10 \times 4 343}{4 7 \times 4 7 ^{3}}

Multiply the numbers

\frac{4 3430}{4 7 \times 4 7 ^{3}}

Multiply the numbers

\frac{4 3430}{7}

x = \pm \frac{4 3430}{7}

Separate the equation into 2 possible cases

x = \frac{4 3430}{7} x = - \frac{4 3430}{7}

x = 0 x = \frac{4 3430}{7} x = - \frac{4 3430}{7}

Solution

x_{1} = - \frac{4 3430}{7}, x_{2} = 0, x_{3} = \frac{4 3430}{7}

Alternative Form

x_{1} \approx - 1.093265, x_{2} = 0, x_{3} \approx 1.093265

Show Solution