Solve -3u-2(9u-2)

Question

Simplify the expression

Solution

- 21 u + 4

Evaluate

- 3 u - 2 (9 u - 2)

Expand the expression

More Steps

Calculate

- 2 (9 u - 2)

Apply the distributive property

- 2 \times 9 u - (- 2 \times 2)

Multiply the numbers

- 18 u - (- 2 \times 2)

Multiply the numbers

- 18 u - (- 4)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 18 u + 4

- 3 u - 18 u + 4

Solution

More Steps

Evaluate

- 3 u - 18 u

Collect like terms by calculating the sum or difference of their coefficients

(- 3 - 18) u

Subtract the numbers

- 21 u

- 21 u + 4

Show Solution

Find the roots

Find the roots of the algebra expression

u = \frac{4}{21}

Alternative Form

u = 0. \dot{1} 9047 \dot{6}

Evaluate

- 3 u - 2 (9 u - 2)

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

- 3 u - 2 (9 u - 2) = 0

Calculate

More Steps

Evaluate

- 3 u - 2 (9 u - 2)

Expand the expression

More Steps

Calculate

- 2 (9 u - 2)

Apply the distributive property

- 2 \times 9 u - (- 2 \times 2)

Multiply the numbers

- 18 u - (- 2 \times 2)

Multiply the numbers

- 18 u - (- 4)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 18 u + 4

- 3 u - 18 u + 4

Subtract the terms

More Steps

Evaluate

- 3 u - 18 u

Collect like terms by calculating the sum or difference of their coefficients

(- 3 - 18) u

Subtract the numbers

- 21 u

- 21 u + 4

- 21 u + 4 = 0

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

- 21 u = 0 - 4

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

- 21 u = - 4

Change the signs on both sides of the equation

21 u = 4

Divide both sides

\frac{21 u}{21} = \frac{4}{21}

Solution

u = \frac{4}{21}

Alternative Form

u = 0. \dot{1} 9047 \dot{6}

Show Solution

3u 2(9u 2)

Simplify the expression

Find the roots