Solve (2x+8)(x+1)

Question

Simplify the expression

2 x^{2} + 10 x + 8

Evaluate

(2 x + 8) (x + 1)

Apply the distributive property

2 x \times x + 2 x \times 1 + 8 x + 8 \times 1

Multiply the terms

2 x^{2} + 2 x \times 1 + 8 x + 8 \times 1

Any expression multiplied by 1 remains the same

2 x^{2} + 2 x + 8 x + 8 \times 1

Any expression multiplied by 1 remains the same

2 x^{2} + 2 x + 8 x + 8

Solution

More Steps

Evaluate

2 x + 8 x

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

(2 + 8) x

Add the numbers

10 x

2 x^{2} + 10 x + 8

Show Solution

2 (x + 4) (x + 1)

Evaluate

(2 x + 8) (x + 1)

Solution

2 (x + 4) (x + 1)

Show Solution

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

Evaluate

(2 x + 8) (x + 1)

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

(2 x + 8) (x + 1) = 0

Separate the equation into 2 possible cases

2 x + 8 = 0 x + 1 = 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 = - 4 x + 1 = 0

Solve the equation

More Steps

Evaluate

x + 1 = 0

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

x = 0 - 1

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

x = - 1

x = - 4 x = - 1

Solution

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

Show Solution