Solve (158d)(-5)-24d d

Question

Simplify the expression

- 790 d - 24 d^{2}

Evaluate

158 d (- 5) - 24 d \times d

Multiply the numbers

More Steps

Evaluate

158 (- 5)

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

- 158 \times 5

Multiply the numbers

- 790

- 790 d - 24 d \times d

Solution

- 790 d - 24 d^{2}

Show Solution

Factor the expression

- 2 d (395 + 12 d)

Evaluate

158 d (- 5) - 24 d \times d

Multiply the numbers

More Steps

Evaluate

158 (- 5)

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

- 158 \times 5

Multiply the numbers

- 790

Evaluate

- 790 d

- 790 d - 24 d \times d

Multiply the terms

- 790 d - 24 d^{2}

Rewrite the expression

- 2 d \times 395 - 2 d \times 12 d

Solution

- 2 d (395 + 12 d)

Show Solution

Find the roots

d_{1} = - \frac{395}{12}, d_{2} = 0

Alternative Form

d_{1} = - 32.91 \dot{6}, d_{2} = 0

Evaluate

(158 d) (- 5) - 24 d \times d

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

(158 d) (- 5) - 24 d \times d = 0

Multiply the terms

158 d (- 5) - 24 d \times d = 0

Multiply the numbers

More Steps

Evaluate

158 (- 5)

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

- 158 \times 5

Multiply the numbers

- 790

- 790 d - 24 d \times d = 0

Multiply the terms

- 790 d - 24 d^{2} = 0

Factor the expression

More Steps

Evaluate

- 790 d - 24 d^{2}

Rewrite the expression

- 2 d \times 395 - 2 d \times 12 d

Factor out - 2 d from the expression

- 2 d (395 + 12 d)

- 2 d (395 + 12 d) = 0

When the product of factors equals 0,at least one factor is 0

- 2 d = 0 395 + 12 d = 0

Solve the equation for d

More Steps

Evaluate

- 2 d = 0

Change the signs on both sides of the equation

2 d = 0

Rewrite the expression

d = 0

d = 0 395 + 12 d = 0

Solve the equation for d

More Steps

Evaluate

395 + 12 d = 0

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

12 d = 0 - 395

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

12 d = - 395

Divide both sides

\frac{12 d}{12} = \frac{- 395}{12}

Divide the numbers

d = \frac{- 395}{12}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

d = - \frac{395}{12}

d = 0 d = - \frac{395}{12}

Solution

d_{1} = - \frac{395}{12}, d_{2} = 0

Alternative Form

d_{1} = - 32.91 \dot{6}, d_{2} = 0

Show Solution