Solve -f 7f-5f -4f -4f

Question

Simplify the expression

- 7 f^{2} - 13 f

Evaluate

- f \times 7 f - 5 f - 4 f - 4 f

Multiply

More Steps

Multiply the terms

- f \times 7 f

Multiply the terms

- f^{2} \times 7

Use the commutative property to reorder the terms

- 7 f^{2}

- 7 f^{2} - 5 f - 4 f - 4 f

Solution

More Steps

Evaluate

- 5 f - 4 f - 4 f

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

(- 5 - 4 - 4) f

Subtract the numbers

- 13 f

- 7 f^{2} - 13 f

Show Solution

Factor the expression

- f (7 f + 13)

Evaluate

- f \times 7 f - 5 f - 4 f - 4 f

Multiply

More Steps

Multiply the terms

f \times 7 f

Multiply the terms

f^{2} \times 7

Use the commutative property to reorder the terms

7 f^{2}

- 7 f^{2} - 5 f - 4 f - 4 f

Subtract the terms

More Steps

Simplify

- 7 f^{2} - 5 f - 4 f

Subtract the terms

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Evaluate

- 5 f - 4 f

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

(- 5 - 4) f

Subtract the numbers

- 9 f

- 7 f^{2} - 9 f

- 7 f^{2} - 9 f - 4 f

Subtract the terms

More Steps

Evaluate

- 9 f - 4 f

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

(- 9 - 4) f

Subtract the numbers

- 13 f

- 7 f^{2} - 13 f

Rewrite the expression

- f \times 7 f - f \times 13

Solution

- f (7 f + 13)

Show Solution

Find the roots

f_{1} = - \frac{13}{7}, f_{2} = 0

Alternative Form

f_{1} = - 1. \dot{8} 5714 \dot{2}, f_{2} = 0

Evaluate

- f \times 7 f - 5 f - 4 f - 4 f

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

- f \times 7 f - 5 f - 4 f - 4 f = 0

Multiply

More Steps

Multiply the terms

f \times 7 f

Multiply the terms

f^{2} \times 7

Use the commutative property to reorder the terms

7 f^{2}

- 7 f^{2} - 5 f - 4 f - 4 f = 0

Subtract the terms

More Steps

Simplify

- 7 f^{2} - 5 f - 4 f

Subtract the terms

More Steps

Evaluate

- 5 f - 4 f

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

(- 5 - 4) f

Subtract the numbers

- 9 f

- 7 f^{2} - 9 f

- 7 f^{2} - 9 f - 4 f = 0

Subtract the terms

More Steps

Simplify

- 7 f^{2} - 9 f - 4 f

Subtract the terms

More Steps

Evaluate

- 9 f - 4 f

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

(- 9 - 4) f

Subtract the numbers

- 13 f

- 7 f^{2} - 13 f

- 7 f^{2} - 13 f = 0

Factor the expression

More Steps

Evaluate

- 7 f^{2} - 13 f

Rewrite the expression

- f \times 7 f - f \times 13

Factor out - f from the expression

- f (7 f + 13)

- f (7 f + 13) = 0

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

- f = 0 7 f + 13 = 0

Solve the equation for f

f = 0 7 f + 13 = 0

Solve the equation for f

More Steps

Evaluate

7 f + 13 = 0

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

7 f = 0 - 13

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

7 f = - 13

Divide both sides

\frac{7 f}{7} = \frac{- 13}{7}

Divide the numbers

f = \frac{- 13}{7}

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

f = - \frac{13}{7}

f = 0 f = - \frac{13}{7}

Solution

f_{1} = - \frac{13}{7}, f_{2} = 0

Alternative Form

f_{1} = - 1. \dot{8} 5714 \dot{2}, f_{2} = 0

Show Solution