Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−4)(x+13)
Evaluate
x2+9x−52
Rewrite the expression
x2+(13−4)x−52
Calculate
x2+13x−4x−52
Rewrite the expression
x×x+x×13−4x−4×13
Factor out x from the expression
x(x+13)−4x−4×13
Factor out −4 from the expression
x(x+13)−4(x+13)
Solution
(x−4)(x+13)
Show Solution
Find the roots
x1=−13,x2=4
Evaluate
x2+9x−52
To find the roots of the expression,set the expression equal to 0
x2+9x−52=0
Factor the expression
More Steps
Evaluate
x2+9x−52
Rewrite the expression
x2+(13−4)x−52
Calculate
x2+13x−4x−52
Rewrite the expression
x×x+x×13−4x−4×13
Factor out x from the expression
x(x+13)−4x−4×13
Factor out −4 from the expression
x(x+13)−4(x+13)
Factor out x+13 from the expression
(x−4)(x+13)
(x−4)(x+13)=0
When the product of factors equals 0,at least one factor is 0
x−4=0x+13=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=4x+13=0
Solve the equation for x
More Steps
Evaluate
x+13=0
Move the constant to the right-hand side and change its sign
x=0−13
Removing 0 doesn't change the value,so remove it from the expression
x=−13
x=4x=−13
Solution
x1=−13,x2=4
Show Solution