Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(2−x)(3+x)
Evaluate
6−x−x2
Rewrite the expression
6+(2−3)x−x2
Calculate
6+2x−3x−x2
Rewrite the expression
2×3+2x−x×3−x×x
Factor out 2 from the expression
2(3+x)−x×3−x×x
Factor out −x from the expression
2(3+x)−x(3+x)
Solution
(2−x)(3+x)
Show Solution
Find the roots
x1=−3,x2=2
Evaluate
6−x−x2
To find the roots of the expression,set the expression equal to 0
6−x−x2=0
Factor the expression
More Steps
Evaluate
6−x−x2
Rewrite the expression
6+(2−3)x−x2
Calculate
6+2x−3x−x2
Rewrite the expression
2×3+2x−x×3−x×x
Factor out 2 from the expression
2(3+x)−x×3−x×x
Factor out −x from the expression
2(3+x)−x(3+x)
Factor out 3+x from the expression
(2−x)(3+x)
(2−x)(3+x)=0
When the product of factors equals 0,at least one factor is 0
2−x=03+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=23+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=2x=−3
Solution
x1=−3,x2=2
Show Solution