Solve (3x+6)(x+3)

Question

Simplify the expression

3 x^{2} + 15 x + 18

Evaluate

(3 x + 6) (x + 3)

Apply the distributive property

3 x \times x + 3 x \times 3 + 6 x + 6 \times 3

Multiply the terms

3 x^{2} + 3 x \times 3 + 6 x + 6 \times 3

Multiply the numbers

3 x^{2} + 9 x + 6 x + 6 \times 3

Multiply the numbers

3 x^{2} + 9 x + 6 x + 18

Solution

More Steps

Evaluate

9 x + 6 x

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

(9 + 6) x

Add the numbers

15 x

3 x^{2} + 15 x + 18

Show Solution

3 (x + 2) (x + 3)

Evaluate

(3 x + 6) (x + 3)

Solution

3 (x + 2) (x + 3)

Show Solution

x_{1} = - 3, x_{2} = - 2

Evaluate

(3 x + 6) (x + 3)

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

(3 x + 6) (x + 3) = 0

Separate the equation into 2 possible cases

3 x + 6 = 0 x + 3 = 0

Solve the equation

More Steps

Evaluate

3 x + 6 = 0

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

3 x = 0 - 6

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

3 x = - 6

Divide both sides

\frac{3 x}{3} = \frac{- 6}{3}

Divide the numbers

x = \frac{- 6}{3}

Divide the numbers

More Steps

Evaluate

\frac{- 6}{3}

Reduce the numbers

\frac{- 2}{1}

Calculate

- 2

x = - 2

x = - 2 x + 3 = 0

Solve the equation

More Steps

Evaluate

x + 3 = 0

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

x = 0 - 3

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

x = - 3

x = - 2 x = - 3

Solution

x_{1} = - 3, x_{2} = - 2

Show Solution