Solve (2x+6)(2x+8)

Question

Simplify the expression

Solution

4 x^{2} + 28 x + 48

Evaluate

(2 x + 6) (2 x + 8)

Apply the distributive property

2 x \times 2 x + 2 x \times 8 + 6 \times 2 x + 6 \times 8

Multiply the terms

More Steps

Evaluate

2 x \times 2 x

Multiply the numbers

4 x \times x

Multiply the terms

4 x^{2}

4 x^{2} + 2 x \times 8 + 6 \times 2 x + 6 \times 8

Multiply the numbers

4 x^{2} + 16 x + 6 \times 2 x + 6 \times 8

Multiply the numbers

4 x^{2} + 16 x + 12 x + 6 \times 8

Multiply the numbers

4 x^{2} + 16 x + 12 x + 48

Solution

More Steps

Evaluate

16 x + 12 x

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

(16 + 12) x

Add the numbers

28 x

4 x^{2} + 28 x + 48

Show Solution

Factor the expression

Factor

4 (x + 3) (x + 4)

Evaluate

(2 x + 6) (2 x + 8)

Factor the expression

2 (x + 3) (2 x + 8)

Factor the expression

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

Solution

4 (x + 3) (x + 4)

Show Solution

Find the roots

Find the roots of the algebra expression

x_{1} = - 4, x_{2} = - 3

Evaluate

(2 x + 6) (2 x + 8)

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

(2 x + 6) (2 x + 8) = 0

Separate the equation into 2 possible cases

2 x + 6 = 0 2 x + 8 = 0

Solve the equation

More Steps

Evaluate

2 x + 6 = 0

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

2 x = 0 - 6

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

2 x = - 6

Divide both sides

\frac{2 x}{2} = \frac{- 6}{2}

Divide the numbers

x = \frac{- 6}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 6}{2}

Reduce the numbers

\frac{- 3}{1}

Calculate

- 3

x = - 3

x = - 3 2 x + 8 = 0

Solve the equation

More Steps

Evaluate

2 x + 8 = 0

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

2 x = 0 - 8

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

2 x = - 8

Divide both sides

\frac{2 x}{2} = \frac{- 8}{2}

Divide the numbers

x = \frac{- 8}{2}

Divide the numbers

More Steps

Evaluate

\frac{- 8}{2}

Reduce the numbers

\frac{- 4}{1}

Calculate

- 4

x = - 4

x = - 3 x = - 4

Solution

x_{1} = - 4, x_{2} = - 3

Show Solution