Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−20)(x+19)
Evaluate
x2−x−380
Rewrite the expression
x2+(19−20)x−380
Calculate
x2+19x−20x−380
Rewrite the expression
x×x+x×19−20x−20×19
Factor out x from the expression
x(x+19)−20x−20×19
Factor out −20 from the expression
x(x+19)−20(x+19)
Solution
(x−20)(x+19)
Show Solution
Find the roots
x1=−19,x2=20
Evaluate
x2−x−380
To find the roots of the expression,set the expression equal to 0
x2−x−380=0
Factor the expression
More Steps
Evaluate
x2−x−380
Rewrite the expression
x2+(19−20)x−380
Calculate
x2+19x−20x−380
Rewrite the expression
x×x+x×19−20x−20×19
Factor out x from the expression
x(x+19)−20x−20×19
Factor out −20 from the expression
x(x+19)−20(x+19)
Factor out x+19 from the expression
(x−20)(x+19)
(x−20)(x+19)=0
When the product of factors equals 0,at least one factor is 0
x−20=0x+19=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+19=0
Solve the equation for x
More Steps
Evaluate
x+19=0
Move the constant to the right-hand side and change its sign
x=0−19
Removing 0 doesn't change the value,so remove it from the expression
x=−19
x=20x=−19
Solution
x1=−19,x2=20
Show Solution