Solve -3(y - 5)2 - 97y

Question

Simplify the expression

- 103 y + 30

Evaluate

- 3 (y - 5) \times 2 - 97 y

Multiply the terms

- 6 (y - 5) - 97 y

Expand the expression

More Steps

Calculate

- 6 (y - 5)

Apply the distributive property

- 6 y - (- 6 \times 5)

Multiply the numbers

- 6 y - (- 30)

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

- 6 y + 30

- 6 y + 30 - 97 y

Solution

More Steps

Evaluate

- 6 y - 97 y

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

(- 6 - 97) y

Subtract the numbers

- 103 y

- 103 y + 30

Show Solution

Find the roots

y = \frac{30}{103}

Alternative Form

y \approx 0.291262

Evaluate

- 3 (y - 5) \times 2 - 97 y

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

- 3 (y - 5) \times 2 - 97 y = 0

Multiply the terms

- 6 (y - 5) - 97 y = 0

Calculate

More Steps

Evaluate

- 6 (y - 5) - 97 y

Expand the expression

More Steps

Calculate

- 6 (y - 5)

Apply the distributive property

- 6 y - (- 6 \times 5)

Multiply the numbers

- 6 y - (- 30)

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

- 6 y + 30

- 6 y + 30 - 97 y

Subtract the terms

More Steps

Evaluate

- 6 y - 97 y

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

(- 6 - 97) y

Subtract the numbers

- 103 y

- 103 y + 30

- 103 y + 30 = 0

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

- 103 y = 0 - 30

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

- 103 y = - 30

Change the signs on both sides of the equation

103 y = 30

Divide both sides

\frac{103 y}{103} = \frac{30}{103}

Solution

y = \frac{30}{103}

Alternative Form

y \approx 0.291262

Show Solution