Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−18)(x+4)
Evaluate
x2−14x−72
Rewrite the expression
x2+(4−18)x−72
Calculate
x2+4x−18x−72
Rewrite the expression
x×x+x×4−18x−18×4
Factor out x from the expression
x(x+4)−18x−18×4
Factor out −18 from the expression
x(x+4)−18(x+4)
Solution
(x−18)(x+4)
Show Solution
Find the roots
x1=−4,x2=18
Evaluate
x2−14x−72
To find the roots of the expression,set the expression equal to 0
x2−14x−72=0
Factor the expression
More Steps
Evaluate
x2−14x−72
Rewrite the expression
x2+(4−18)x−72
Calculate
x2+4x−18x−72
Rewrite the expression
x×x+x×4−18x−18×4
Factor out x from the expression
x(x+4)−18x−18×4
Factor out −18 from the expression
x(x+4)−18(x+4)
Factor out x+4 from the expression
(x−18)(x+4)
(x−18)(x+4)=0
When the product of factors equals 0,at least one factor is 0
x−18=0x+4=0
Solve the equation for x
More Steps
Evaluate
x−18=0
Move the constant to the right-hand side and change its sign
x=0+18
Removing 0 doesn't change the value,so remove it from the expression
x=18
x=18x+4=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=18x=−4
Solution
x1=−4,x2=18
Show Solution