Solve (x+3)(3x+10)

Question

Simplify the expression

3 x^{2} + 19 x + 30

Evaluate

(x + 3) (3 x + 10)

Apply the distributive property

x \times 3 x + x \times 10 + 3 \times 3 x + 3 \times 10

Multiply the terms

More Steps

Evaluate

x \times 3 x

Use the commutative property to reorder the terms

3 x \times x

Multiply the terms

3 x^{2}

3 x^{2} + x \times 10 + 3 \times 3 x + 3 \times 10

Use the commutative property to reorder the terms

3 x^{2} + 10 x + 3 \times 3 x + 3 \times 10

Multiply the numbers

3 x^{2} + 10 x + 9 x + 3 \times 10

Multiply the numbers

3 x^{2} + 10 x + 9 x + 30

Solution

More Steps

Evaluate

10 x + 9 x

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

(10 + 9) x

Add the numbers

19 x

3 x^{2} + 19 x + 30

Show Solution

x_{1} = - \frac{10}{3}, x_{2} = - 3

Alternative Form

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

Evaluate

(x + 3) (3 x + 10)

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

(x + 3) (3 x + 10) = 0

Separate the equation into 2 possible cases

x + 3 = 0 3 x + 10 = 0

Solve the equation

More Steps

Evaluate

x + 3 = 0

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

x = 0 - 3

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

x = - 3

x = - 3 3 x + 10 = 0

Solve the equation

More Steps

Evaluate

3 x + 10 = 0

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

3 x = 0 - 10

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

3 x = - 10

Divide both sides

\frac{3 x}{3} = \frac{- 10}{3}

Divide the numbers

x = \frac{- 10}{3}

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

x = - \frac{10}{3}

x = - 3 x = - \frac{10}{3}

Solution

x_{1} = - \frac{10}{3}, x_{2} = - 3

Alternative Form

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

Show Solution