Solve - 2/5 * (- 5/14 * x - 10/6)

Question

Simplify the expression

\frac{1}{7} x + \frac{2}{3}

Evaluate

- \frac{2}{5} (- \frac{5}{14} x - \frac{10}{6})

Cancel out the common factor 2

- \frac{2}{5} (- \frac{5}{14} x - \frac{5}{3})

Multiply the terms

More Steps

Evaluate

\frac{2}{5} (- \frac{5}{14} x - \frac{5}{3})

Apply the distributive property

\frac{2}{5} (- \frac{5}{14} x) - \frac{2}{5} \times \frac{5}{3}

Multiply the numbers

More Steps

Evaluate

\frac{2}{5} (- \frac{5}{14})

Multiplying or dividing an odd number of negative terms equals a negative

- \frac{2}{5} \times \frac{5}{14}

Reduce the numbers

- \frac{1}{5} \times \frac{5}{7}

Reduce the numbers

- 1 \times \frac{1}{7}

Multiply the numbers

- \frac{1}{7}

- \frac{1}{7} x - \frac{2}{5} \times \frac{5}{3}

Multiply the numbers

More Steps

Evaluate

\frac{2}{5} \times \frac{5}{3}

Reduce the numbers

2 \times \frac{1}{3}

Multiply the numbers

\frac{2}{3}

- \frac{1}{7} x - \frac{2}{3}

- (- \frac{1}{7} x - \frac{2}{3})

Solution

\frac{1}{7} x + \frac{2}{3}

Show Solution

Factor the expression

\frac{1}{21} (3 x + 14)

Evaluate

- \frac{2}{5} (- \frac{5}{14} x - \frac{10}{6})

Cancel out the common factor 2

- \frac{2}{5} (- \frac{5}{14} x - \frac{5}{3})

Factor the expression

- \frac{2}{5} (- \frac{5}{42}) (3 x + 14)

Solution

\frac{1}{21} (3 x + 14)

Show Solution

Find the roots

x = - \frac{14}{3}

Alternative Form

x = - 4. \dot{6}

Evaluate

- \frac{2}{5} (- \frac{5}{14} x - \frac{10}{6})

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

- \frac{2}{5} (- \frac{5}{14} x - \frac{10}{6}) = 0

Cancel out the common factor 2

- \frac{2}{5} (- \frac{5}{14} x - \frac{5}{3}) = 0

Multiply the terms

More Steps

Evaluate

\frac{2}{5} (- \frac{5}{14} x - \frac{5}{3})

Apply the distributive property

\frac{2}{5} (- \frac{5}{14} x) - \frac{2}{5} \times \frac{5}{3}

Multiply the numbers

More Steps

Evaluate

\frac{2}{5} (- \frac{5}{14})

Multiplying or dividing an odd number of negative terms equals a negative

- \frac{2}{5} \times \frac{5}{14}

Reduce the numbers

- \frac{1}{5} \times \frac{5}{7}

Reduce the numbers

- 1 \times \frac{1}{7}

Multiply the numbers

- \frac{1}{7}

- \frac{1}{7} x - \frac{2}{5} \times \frac{5}{3}

Multiply the numbers

More Steps

Evaluate

\frac{2}{5} \times \frac{5}{3}

Reduce the numbers

2 \times \frac{1}{3}

Multiply the numbers

\frac{2}{3}

- \frac{1}{7} x - \frac{2}{3}

- (- \frac{1}{7} x - \frac{2}{3}) = 0

Calculate

\frac{1}{7} x + \frac{2}{3} = 0

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

\frac{1}{7} x = 0 - \frac{2}{3}

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

\frac{1}{7} x = - \frac{2}{3}

Multiply by the reciprocal

\frac{1}{7} x \times 7 = - \frac{2}{3} \times 7

Multiply

x = - \frac{2}{3} \times 7

Solution

More Steps

Evaluate

- \frac{2}{3} \times 7

Multiply the numbers

- \frac{2 \times 7}{3}

Multiply the numbers

- \frac{14}{3}

x = - \frac{14}{3}

Alternative Form

x = - 4. \dot{6}

Show Solution