Solve x^2 + 13x + 36

Question

Factor the expression

(x + 4) (x + 9)

Evaluate

x^{2} + 13 x + 36

Rewrite the expression

x^{2} + (9 + 4) x + 36

Calculate

x^{2} + 9 x + 4 x + 36

Rewrite the expression

x \times x + x \times 9 + 4 x + 4 \times 9

Factor out x from the expression

x (x + 9) + 4 x + 4 \times 9

Factor out 4 from the expression

x (x + 9) + 4 (x + 9)

Solution

(x + 4) (x + 9)

Show Solution

x_{1} = - 9, x_{2} = - 4

Evaluate

x^{2} + 13 x + 36

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

x^{2} + 13 x + 36 = 0

Factor the expression

More Steps

Evaluate

x^{2} + 13 x + 36

Rewrite the expression

x^{2} + (9 + 4) x + 36

Calculate

x^{2} + 9 x + 4 x + 36

Rewrite the expression

x \times x + x \times 9 + 4 x + 4 \times 9

Factor out x from the expression

x (x + 9) + 4 x + 4 \times 9

Factor out 4 from the expression

x (x + 9) + 4 (x + 9)

Factor out x + 9 from the expression

(x + 4) (x + 9)

(x + 4) (x + 9) = 0

When the product of factors equals 0,at least one factor is 0

x + 4 = 0 x + 9 = 0

Solve the equation for x

More Steps

Evaluate

x + 4 = 0

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

x = 0 - 4

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

x = - 4

x = - 4 x + 9 = 0

Solve the equation for x

More Steps

Evaluate

x + 9 = 0

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

x = 0 - 9

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

x = - 9

x = - 4 x = - 9

Solution

x_{1} = - 9, x_{2} = - 4

Show Solution