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

Question

Simplify the expression

Solution

9 x^{2} + 3 x - 6

Evaluate

(3 x + 3) (3 x - 2)

Apply the distributive property

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

Multiply the terms

More Steps

Evaluate

3 x \times 3 x

Multiply the numbers

9 x \times x

Multiply the terms

9 x^{2}

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

Multiply the numbers

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

Multiply the numbers

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

Multiply the numbers

9 x^{2} - 6 x + 9 x - 6

Solution

More Steps

Evaluate

- 6 x + 9 x

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

(- 6 + 9) x

Add the numbers

3 x

9 x^{2} + 3 x - 6

Show Solution

Factor the expression

Factor

3 (x + 1) (3 x - 2)

Evaluate

(3 x + 3) (3 x - 2)

Solution

3 (x + 1) (3 x - 2)

Show Solution

Find the roots

Find the roots of the algebra expression

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

Alternative Form

x_{1} = - 1, x_{2} = 0. \dot{6}

Evaluate

(3 x + 3) (3 x - 2)

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

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

Separate the equation into 2 possible cases

3 x + 3 = 0 3 x - 2 = 0

Solve the equation

More Steps

Evaluate

3 x + 3 = 0

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

3 x = 0 - 3

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

3 x = - 3

Divide both sides

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

Divide the numbers

x = \frac{- 3}{3}

Divide the numbers

More Steps

Evaluate

\frac{- 3}{3}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

x = - 1

x = - 1 3 x - 2 = 0

Solve the equation

More Steps

Evaluate

3 x - 2 = 0

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

3 x = 0 + 2

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

3 x = 2

Divide both sides

\frac{3 x}{3} = \frac{2}{3}

Divide the numbers

x = \frac{2}{3}

x = - 1 x = \frac{2}{3}

Solution

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

Alternative Form

x_{1} = - 1, x_{2} = 0. \dot{6}

Show Solution

(3x + 3)(3x 2)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression