Solve -5(-3s+9s+9)-2s

Question

Simplify the expression

Solution

- 32 s - 45

Evaluate

- 5 (- 3 s + 9 s + 9) - 2 s

Add the terms

More Steps

Evaluate

- 3 s + 9 s + 9

Add the terms

More Steps

Evaluate

- 3 s + 9 s

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

(- 3 + 9) s

Add the numbers

6 s

6 s + 9

- 5 (6 s + 9) - 2 s

Expand the expression

More Steps

Calculate

- 5 (6 s + 9)

Apply the distributive property

- 5 \times 6 s - 5 \times 9

Multiply the numbers

- 30 s - 5 \times 9

Multiply the numbers

- 30 s - 45

- 30 s - 45 - 2 s

Solution

More Steps

Evaluate

- 30 s - 2 s

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

(- 30 - 2) s

Subtract the numbers

- 32 s

- 32 s - 45

Show Solution

Find the roots

Find the roots of the algebra expression

s = - \frac{45}{32}

Alternative Form

s = - 1.40625

Evaluate

- 5 (- 3 s + 9 s + 9) - 2 s

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

- 5 (- 3 s + 9 s + 9) - 2 s = 0

Add the terms

More Steps

Evaluate

- 3 s + 9 s + 9

Add the terms

More Steps

Evaluate

- 3 s + 9 s

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

(- 3 + 9) s

Add the numbers

6 s

6 s + 9

- 5 (6 s + 9) - 2 s = 0

Calculate

More Steps

Evaluate

- 5 (6 s + 9) - 2 s

Expand the expression

More Steps

Calculate

- 5 (6 s + 9)

Apply the distributive property

- 5 \times 6 s - 5 \times 9

Multiply the numbers

- 30 s - 5 \times 9

Multiply the numbers

- 30 s - 45

- 30 s - 45 - 2 s

Subtract the terms

More Steps

Evaluate

- 30 s - 2 s

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

(- 30 - 2) s

Subtract the numbers

- 32 s

- 32 s - 45

- 32 s - 45 = 0

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

- 32 s = 0 + 45

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

- 32 s = 45

Change the signs on both sides of the equation

32 s = - 45

Divide both sides

\frac{32 s}{32} = \frac{- 45}{32}

Divide the numbers

s = \frac{- 45}{32}

Solution

s = - \frac{45}{32}

Alternative Form

s = - 1.40625

Show Solution

5( 3s+9s+9) 2s

Simplify the expression

Solution

Find the roots

Find the roots of the algebra expression