Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2x(9−x)
Evaluate
18x−2x2
Rewrite the expression
2x×9−2x×x
Solution
2x(9−x)
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Find the roots
x1=0,x2=9
Evaluate
18x−2x2
To find the roots of the expression,set the expression equal to 0
18x−2x2=0
Factor the expression
More Steps
Evaluate
18x−2x2
Rewrite the expression
2x×9−2x×x
Factor out 2x from the expression
2x(9−x)
2x(9−x)=0
When the product of factors equals 0,at least one factor is 0
2x=09−x=0
Solve the equation for x
x=09−x=0
Solve the equation for x
More Steps
Evaluate
9−x=0
Move the constant to the right-hand side and change its sign
−x=0−9
Removing 0 doesn't change the value,so remove it from the expression
−x=−9
Change the signs on both sides of the equation
x=9
x=0x=9
Solution
x1=0,x2=9
Show Solution