Solve 9x - 3(2x - 5) 14

Question

Simplify the expression

- 75 x + 210

Evaluate

9 x - 3 (2 x - 5) \times 14

Multiply the terms

9 x - 42 (2 x - 5)

Expand the expression

More Steps

Calculate

- 42 (2 x - 5)

Apply the distributive property

- 42 \times 2 x - (- 42 \times 5)

Multiply the numbers

- 84 x - (- 42 \times 5)

Multiply the numbers

- 84 x - (- 210)

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

- 84 x + 210

9 x - 84 x + 210

Solution

More Steps

Evaluate

9 x - 84 x

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

(9 - 84) x

Subtract the numbers

- 75 x

- 75 x + 210

Show Solution

Factor the expression

- 15 (5 x - 14)

Evaluate

9 x - 3 (2 x - 5) \times 14

Multiply the terms

9 x - 42 (2 x - 5)

Simplify

More Steps

Evaluate

- 42 (2 x - 5)

Apply the distributive property

- 42 \times 2 x - 42 (- 5)

Multiply the terms

- 84 x - 42 (- 5)

Multiply the terms

More Steps

Evaluate

- 42 (- 5)

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

42 \times 5

Multiply the numbers

210

- 84 x + 210

9 x - 84 x + 210

Subtract the terms

More Steps

Evaluate

9 x - 84 x

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

(9 - 84) x

Subtract the numbers

- 75 x

- 75 x + 210

Solution

- 15 (5 x - 14)

Show Solution

Find the roots

x = \frac{14}{5}

Alternative Form

x = 2.8

Evaluate

9 x - 3 (2 x - 5) \times 14

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

9 x - 3 (2 x - 5) \times 14 = 0

Multiply the terms

9 x - 42 (2 x - 5) = 0

Calculate

More Steps

Evaluate

9 x - 42 (2 x - 5)

Expand the expression

More Steps

Calculate

- 42 (2 x - 5)

Apply the distributive property

- 42 \times 2 x - (- 42 \times 5)

Multiply the numbers

- 84 x - (- 42 \times 5)

Multiply the numbers

- 84 x - (- 210)

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

- 84 x + 210

9 x - 84 x + 210

Subtract the terms

More Steps

Evaluate

9 x - 84 x

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

(9 - 84) x

Subtract the numbers

- 75 x

- 75 x + 210

- 75 x + 210 = 0

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

- 75 x = 0 - 210

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

- 75 x = - 210

Change the signs on both sides of the equation

75 x = 210

Divide both sides

\frac{75 x}{75} = \frac{210}{75}

Divide the numbers

x = \frac{210}{75}

Solution

x = \frac{14}{5}

Alternative Form

x = 2.8

Show Solution