Solve (4x+3)(x+6)

Question

Simplify the expression

4 x^{2} + 27 x + 18

Evaluate

(4 x + 3) (x + 6)

Apply the distributive property

4 x \times x + 4 x \times 6 + 3 x + 3 \times 6

Multiply the terms

4 x^{2} + 4 x \times 6 + 3 x + 3 \times 6

Multiply the numbers

4 x^{2} + 24 x + 3 x + 3 \times 6

Multiply the numbers

4 x^{2} + 24 x + 3 x + 18

Solution

More Steps

Evaluate

24 x + 3 x

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

(24 + 3) x

Add the numbers

27 x

4 x^{2} + 27 x + 18

Show Solution

x_{1} = - 6, x_{2} = - \frac{3}{4}

Alternative Form

x_{1} = - 6, x_{2} = - 0.75

Evaluate

(4 x + 3) (x + 6)

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

(4 x + 3) (x + 6) = 0

Separate the equation into 2 possible cases

4 x + 3 = 0 x + 6 = 0

Solve the equation

More Steps

Evaluate

4 x + 3 = 0

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

4 x = 0 - 3

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

4 x = - 3

Divide both sides

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

Divide the numbers

x = \frac{- 3}{4}

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

x = - \frac{3}{4}

x = - \frac{3}{4} x + 6 = 0

Solve the equation

More Steps

Evaluate

x + 6 = 0

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

x = 0 - 6

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

x = - 6

x = - \frac{3}{4} x = - 6

Solution

x_{1} = - 6, x_{2} = - \frac{3}{4}

Alternative Form

x_{1} = - 6, x_{2} = - 0.75

Show Solution