Question
Simplify the expression
2x2−9x
Evaluate
(2x−9)(x×1)
Remove the parentheses
(2x−9)x×1
Rewrite the expression
(2x−9)x
Multiply the terms
x(2x−9)
Apply the distributive property
x×2x−x×9
Multiply the terms
More Steps

Evaluate
x×2x
Use the commutative property to reorder the terms
2x×x
Multiply the terms
2x2
2x2−x×9
Solution
2x2−9x
Show Solution

Find the roots
x1=0,x2=29
Alternative Form
x1=0,x2=4.5
Evaluate
(2x−9)(x×1)
To find the roots of the expression,set the expression equal to 0
(2x−9)(x×1)=0
Any expression multiplied by 1 remains the same
(2x−9)x=0
Multiply the terms
x(2x−9)=0
Separate the equation into 2 possible cases
x=02x−9=0
Solve the equation
More Steps

Evaluate
2x−9=0
Move the constant to the right-hand side and change its sign
2x=0+9
Removing 0 doesn't change the value,so remove it from the expression
2x=9
Divide both sides
22x=29
Divide the numbers
x=29
x=0x=29
Solution
x1=0,x2=29
Alternative Form
x1=0,x2=4.5
Show Solution
