Solve 7(-5t-3) -4(3t-4)

Question

Simplify the expression

- 47 t - 5

Evaluate

7 (- 5 t - 3) - 4 (3 t - 4)

Expand the expression

More Steps

Calculate

7 (- 5 t - 3)

Apply the distributive property

7 (- 5 t) - 7 \times 3

Multiply the numbers

More Steps

Evaluate

7 (- 5)

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

- 7 \times 5

Multiply the numbers

- 35

- 35 t - 7 \times 3

Multiply the numbers

- 35 t - 21

- 35 t - 21 - 4 (3 t - 4)

Expand the expression

More Steps

Calculate

- 4 (3 t - 4)

Apply the distributive property

- 4 \times 3 t - (- 4 \times 4)

Multiply the numbers

- 12 t - (- 4 \times 4)

Multiply the numbers

- 12 t - (- 16)

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

- 12 t + 16

- 35 t - 21 - 12 t + 16

Subtract the terms

More Steps

Evaluate

- 35 t - 12 t

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

(- 35 - 12) t

Subtract the numbers

- 47 t

- 47 t - 21 + 16

Solution

- 47 t - 5

Show Solution

Find the roots

t = - \frac{5}{47}

Alternative Form

t \approx - 0.106383

Evaluate

7 (- 5 t - 3) - 4 (3 t - 4)

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

7 (- 5 t - 3) - 4 (3 t - 4) = 0

Calculate

More Steps

Evaluate

7 (- 5 t - 3) - 4 (3 t - 4)

Expand the expression

More Steps

Calculate

7 (- 5 t - 3)

Apply the distributive property

7 (- 5 t) - 7 \times 3

Multiply the numbers

- 35 t - 7 \times 3

Multiply the numbers

- 35 t - 21

- 35 t - 21 - 4 (3 t - 4)

Expand the expression

More Steps

Calculate

- 4 (3 t - 4)

Apply the distributive property

- 4 \times 3 t - (- 4 \times 4)

Multiply the numbers

- 12 t - (- 4 \times 4)

Multiply the numbers

- 12 t - (- 16)

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

- 12 t + 16

- 35 t - 21 - 12 t + 16

Subtract the terms

More Steps

Evaluate

- 35 t - 12 t

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

(- 35 - 12) t

Subtract the numbers

- 47 t

- 47 t - 21 + 16

Add the numbers

- 47 t - 5

- 47 t - 5 = 0

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

- 47 t = 0 + 5

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

- 47 t = 5

Change the signs on both sides of the equation

47 t = - 5

Divide both sides

\frac{47 t}{47} = \frac{- 5}{47}

Divide the numbers

t = \frac{- 5}{47}

Solution

t = - \frac{5}{47}

Alternative Form

t \approx - 0.106383

Show Solution