Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−3)(x−2)
Evaluate
x2−5x+6
Rewrite the expression
x2+(−2−3)x+6
Calculate
x2−2x−3x+6
Rewrite the expression
x×x−x×2−3x+3×2
Factor out x from the expression
x(x−2)−3x+3×2
Factor out −3 from the expression
x(x−2)−3(x−2)
Solution
(x−3)(x−2)
Show Solution
Find the roots
x1=2,x2=3
Evaluate
x2−5x+6
To find the roots of the expression,set the expression equal to 0
x2−5x+6=0
Factor the expression
More Steps
Evaluate
x2−5x+6
Rewrite the expression
x2+(−2−3)x+6
Calculate
x2−2x−3x+6
Rewrite the expression
x×x−x×2−3x+3×2
Factor out x from the expression
x(x−2)−3x+3×2
Factor out −3 from the expression
x(x−2)−3(x−2)
Factor out x−2 from the expression
(x−3)(x−2)
(x−3)(x−2)=0
When the product of factors equals 0,at least one factor is 0
x−3=0x−2=0
Solve the equation for x
More Steps
Evaluate
x−3=0
Move the constant to the right-hand side and change its sign
x=0+3
Removing 0 doesn't change the value,so remove it from the expression
x=3
x=3x−2=0
Solve the equation for x
More Steps
Evaluate
x−2=0
Move the constant to the right-hand side and change its sign
x=0+2
Removing 0 doesn't change the value,so remove it from the expression
x=2
x=3x=2
Solution
x1=2,x2=3
Show Solution