Solve (x-2)(3x+9)

Question

Simplify the expression

Solution

3 x^{2} + 3 x - 18

Evaluate

(x - 2) (3 x + 9)

Apply the distributive property

x \times 3 x + x \times 9 - 2 \times 3 x - 2 \times 9

Multiply the terms

More Steps

Evaluate

x \times 3 x

Use the commutative property to reorder the terms

3 x \times x

Multiply the terms

3 x^{2}

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

Use the commutative property to reorder the terms

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

Multiply the numbers

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

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

Subtract the numbers

3 x

3 x^{2} + 3 x - 18

Show Solution

Factor the expression

Factor

3 (x - 2) (x + 3)

Evaluate

(x - 2) (3 x + 9)

Factor the expression

(x - 2) \times 3 (x + 3)

Solution

3 (x - 2) (x + 3)

Show Solution

Find the roots

Find the roots of the algebra expression

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

Evaluate

(x - 2) (3 x + 9)

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

(x - 2) (3 x + 9) = 0

Separate the equation into 2 possible cases

x - 2 = 0 3 x + 9 = 0

Solve the equation

More Steps

Evaluate

x - 2 = 0

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

x = 0 + 2

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

x = 2

x = 2 3 x + 9 = 0

Solve the equation

More Steps

Evaluate

3 x + 9 = 0

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

3 x = 0 - 9

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

3 x = - 9

Divide both sides

\frac{3 x}{3} = \frac{- 9}{3}

Divide the numbers

x = \frac{- 9}{3}

Divide the numbers

More Steps

Evaluate

\frac{- 9}{3}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

x = - 3

x = 2 x = - 3

Solution

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

Show Solution

(x 2)(3x+9)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression