Solve -4f-6(6f-10)

Question

Simplify the expression

- 40 f + 60

Evaluate

- 4 f - 6 (6 f - 10)

Expand the expression

More Steps

Calculate

- 6 (6 f - 10)

Apply the distributive property

- 6 \times 6 f - (- 6 \times 10)

Multiply the numbers

- 36 f - (- 6 \times 10)

Multiply the numbers

- 36 f - (- 60)

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

- 36 f + 60

- 4 f - 36 f + 60

Solution

More Steps

Evaluate

- 4 f - 36 f

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

(- 4 - 36) f

Subtract the numbers

- 40 f

- 40 f + 60

Show Solution

Factor the expression

- 20 (2 f - 3)

Evaluate

- 4 f - 6 (6 f - 10)

Simplify

More Steps

Evaluate

- 6 (6 f - 10)

Apply the distributive property

- 6 \times 6 f - 6 (- 10)

Multiply the terms

- 36 f - 6 (- 10)

Multiply the terms

More Steps

Evaluate

- 6 (- 10)

Multiplying or dividing an even number of negative terms equals a positive

6 \times 10

Multiply the numbers

60

- 36 f + 60

- 4 f - 36 f + 60

Subtract the terms

More Steps

Evaluate

- 4 f - 36 f

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

(- 4 - 36) f

Subtract the numbers

- 40 f

- 40 f + 60

Solution

- 20 (2 f - 3)

Show Solution

Find the roots

f = \frac{3}{2}

Alternative Form

f = 1.5

Evaluate

- 4 f - 6 (6 f - 10)

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

- 4 f - 6 (6 f - 10) = 0

Calculate

More Steps

Evaluate

- 4 f - 6 (6 f - 10)

Expand the expression

More Steps

Calculate

- 6 (6 f - 10)

Apply the distributive property

- 6 \times 6 f - (- 6 \times 10)

Multiply the numbers

- 36 f - (- 6 \times 10)

Multiply the numbers

- 36 f - (- 60)

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

- 36 f + 60

- 4 f - 36 f + 60

Subtract the terms

More Steps

Evaluate

- 4 f - 36 f

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

(- 4 - 36) f

Subtract the numbers

- 40 f

- 40 f + 60

- 40 f + 60 = 0

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

- 40 f = 0 - 60

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

- 40 f = - 60

Change the signs on both sides of the equation

40 f = 60

Divide both sides

\frac{40 f}{40} = \frac{60}{40}

Divide the numbers

f = \frac{60}{40}

Solution

f = \frac{3}{2}

Alternative Form

f = 1.5

Show Solution