Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−(3−x)(2−x)
Evaluate
5x−6−x2
Reorder the terms
−6+5x−x2
Rewrite the expression
−6+(3+2)x−x2
Calculate
−6+3x+2x−x2
Rewrite the expression
−3×2+3x+x×2−x×x
Factor out −3 from the expression
−3(2−x)+x×2−x×x
Factor out x from the expression
−3(2−x)+x(2−x)
Factor out 2−x from the expression
(−3+x)(2−x)
Solution
−(3−x)(2−x)
Show Solution
Find the roots
x1=2,x2=3
Evaluate
5x−6−x2
To find the roots of the expression,set the expression equal to 0
5x−6−x2=0
Factor the expression
More Steps
Evaluate
5x−6−x2
Reorder the terms
−6+5x−x2
Rewrite the expression
−6+(3+2)x−x2
Calculate
−6+3x+2x−x2
Rewrite the expression
−3×2+3x+x×2−x×x
Factor out −3 from the expression
−3(2−x)+x×2−x×x
Factor out x from the expression
−3(2−x)+x(2−x)
Factor out 2−x from the expression
(−3+x)(2−x)
(−3+x)(2−x)=0
When the product of factors equals 0,at least one factor is 0
−3+x=02−x=0
Solve the equation for x
More Steps
Evaluate
−3+x=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=32−x=0
Solve the equation for x
More Steps
Evaluate
2−x=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
Change the signs on both sides of the equation
x=2
x=3x=2
Solution
x1=2,x2=3
Show Solution