Solve (3x+4)(x+8)

Question

Simplify the expression

3 x^{2} + 28 x + 32

Evaluate

(3 x + 4) (x + 8)

Apply the distributive property

3 x \times x + 3 x \times 8 + 4 x + 4 \times 8

Multiply the terms

3 x^{2} + 3 x \times 8 + 4 x + 4 \times 8

Multiply the numbers

3 x^{2} + 24 x + 4 x + 4 \times 8

Multiply the numbers

3 x^{2} + 24 x + 4 x + 32

Solution

More Steps

Evaluate

24 x + 4 x

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

(24 + 4) x

Add the numbers

28 x

3 x^{2} + 28 x + 32

Show Solution

x_{1} = - 8, x_{2} = - \frac{4}{3}

Alternative Form

x_{1} = - 8, x_{2} = - 1. \dot{3}

Evaluate

(3 x + 4) (x + 8)

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

(3 x + 4) (x + 8) = 0

Separate the equation into 2 possible cases

3 x + 4 = 0 x + 8 = 0

Solve the equation

More Steps

Evaluate

3 x + 4 = 0

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

3 x = 0 - 4

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

3 x = - 4

Divide both sides

\frac{3 x}{3} = \frac{- 4}{3}

Divide the numbers

x = \frac{- 4}{3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

x = - \frac{4}{3}

x = - \frac{4}{3} x + 8 = 0

Solve the equation

More Steps

Evaluate

x + 8 = 0

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

x = 0 - 8

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

x = - 8

x = - \frac{4}{3} x = - 8

Solution

x_{1} = - 8, x_{2} = - \frac{4}{3}

Alternative Form

x_{1} = - 8, x_{2} = - 1. \dot{3}

Show Solution