Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−20)(x+6)
Evaluate
x2−14x−120
Rewrite the expression
x2+(6−20)x−120
Calculate
x2+6x−20x−120
Rewrite the expression
x×x+x×6−20x−20×6
Factor out x from the expression
x(x+6)−20x−20×6
Factor out −20 from the expression
x(x+6)−20(x+6)
Solution
(x−20)(x+6)
Show Solution
Find the roots
x1=−6,x2=20
Evaluate
x2−14x−120
To find the roots of the expression,set the expression equal to 0
x2−14x−120=0
Factor the expression
More Steps
Evaluate
x2−14x−120
Rewrite the expression
x2+(6−20)x−120
Calculate
x2+6x−20x−120
Rewrite the expression
x×x+x×6−20x−20×6
Factor out x from the expression
x(x+6)−20x−20×6
Factor out −20 from the expression
x(x+6)−20(x+6)
Factor out x+6 from the expression
(x−20)(x+6)
(x−20)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x−20=0x+6=0
Solve the equation for x
More Steps
Evaluate
x−20=0
Move the constant to the right-hand side and change its sign
x=0+20
Removing 0 doesn't change the value,so remove it from the expression
x=20
x=20x+6=0
Solve the equation for x
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=20x=−6
Solution
x1=−6,x2=20
Show Solution