Solve -12a -512 - a - 3a

Question

Simplify the expression

- 16 a - 512

Evaluate

- 12 a - 512 - a - 3 a

Solution

More Steps

Evaluate

- 12 a - a - 3 a

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

(- 12 - 1 - 3) a

Subtract the numbers

- 16 a

- 16 a - 512

Show Solution

Factor the expression

- 16 (a + 32)

Evaluate

- 12 a - 512 - a - 3 a

Subtract the terms

More Steps

Simplify

- 12 a - 512 - a

Subtract the terms

More Steps

Evaluate

- 12 a - a

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

(- 12 - 1) a

Subtract the numbers

- 13 a

- 13 a - 512

- 13 a - 512 - 3 a

Subtract the terms

More Steps

Evaluate

- 13 a - 3 a

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

(- 13 - 3) a

Subtract the numbers

- 16 a

- 16 a - 512

Solution

- 16 (a + 32)

Show Solution

Find the roots

a = - 32

Evaluate

- 12 a - 512 - a - 3 a

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

- 12 a - 512 - a - 3 a = 0

Subtract the terms

More Steps

Simplify

- 12 a - 512 - a

Subtract the terms

More Steps

Evaluate

- 12 a - a

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

(- 12 - 1) a

Subtract the numbers

- 13 a

- 13 a - 512

- 13 a - 512 - 3 a = 0

Subtract the terms

More Steps

Simplify

- 13 a - 512 - 3 a

Subtract the terms

More Steps

Evaluate

- 13 a - 3 a

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

(- 13 - 3) a

Subtract the numbers

- 16 a

- 16 a - 512

- 16 a - 512 = 0

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

- 16 a = 0 + 512

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

- 16 a = 512

Change the signs on both sides of the equation

16 a = - 512

Divide both sides

\frac{16 a}{16} = \frac{- 512}{16}

Divide the numbers

a = \frac{- 512}{16}

Solution

More Steps

Evaluate

\frac{- 512}{16}

Reduce the numbers

\frac{- 32}{1}

Calculate

- 32

a = - 32

Show Solution