Solve (3x-2)(4x+4)

Question

Simplify the expression

Solution

12 x^{2} + 4 x - 8

Evaluate

(3 x - 2) (4 x + 4)

Apply the distributive property

3 x \times 4 x + 3 x \times 4 - 2 \times 4 x - 2 \times 4

Multiply the terms

More Steps

Evaluate

3 x \times 4 x

Multiply the numbers

12 x \times x

Multiply the terms

12 x^{2}

12 x^{2} + 3 x \times 4 - 2 \times 4 x - 2 \times 4

Multiply the numbers

12 x^{2} + 12 x - 2 \times 4 x - 2 \times 4

Multiply the numbers

12 x^{2} + 12 x - 8 x - 2 \times 4

Multiply the numbers

12 x^{2} + 12 x - 8 x - 8

Solution

More Steps

Evaluate

12 x - 8 x

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

(12 - 8) x

Subtract the numbers

4 x

12 x^{2} + 4 x - 8

Show Solution

Factor the expression

Factor

4 (3 x - 2) (x + 1)

Evaluate

(3 x - 2) (4 x + 4)

Factor the expression

(3 x - 2) \times 4 (x + 1)

Solution

4 (3 x - 2) (x + 1)

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 - 2) (4 x + 4)

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

(3 x - 2) (4 x + 4) = 0

Separate the equation into 2 possible cases

3 x - 2 = 0 4 x + 4 = 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 = \frac{2}{3} 4 x + 4 = 0

Solve the equation

More Steps

Evaluate

4 x + 4 = 0

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

4 x = 0 - 4

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

4 x = - 4

Divide both sides

\frac{4 x}{4} = \frac{- 4}{4}

Divide the numbers

x = \frac{- 4}{4}

Divide the numbers

More Steps

Evaluate

\frac{- 4}{4}

Reduce the numbers

\frac{- 1}{1}

Calculate

- 1

x = - 1

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

Solution

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

Alternative Form

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

Show Solution

(3x 2)(4x+4)

Simplify the expression

Solution

Factor the expression

Factor

Find the roots

Find the roots of the algebra expression