Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
600x−2x2
Evaluate
(600−2x)x
Multiply the terms
x(600−2x)
Apply the distributive property
x×600−x×2x
Use the commutative property to reorder the terms
600x−x×2x
Solution
More Steps
Evaluate
x×2x
Use the commutative property to reorder the terms
2x×x
Multiply the terms
2x2
600x−2x2
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Factor the expression
2x(300−x)
Evaluate
(600−2x)x
Multiply the terms
x(600−2x)
Factor the expression
x×2(300−x)
Solution
2x(300−x)
Show Solution
Find the roots
x1=0,x2=300
Evaluate
(600−2x)x
To find the roots of the expression,set the expression equal to 0
(600−2x)x=0
Multiply the terms
x(600−2x)=0
Separate the equation into 2 possible cases
x=0600−2x=0
Solve the equation
More Steps
Evaluate
600−2x=0
Move the constant to the right-hand side and change its sign
−2x=0−600
Removing 0 doesn't change the value,so remove it from the expression
−2x=−600
Change the signs on both sides of the equation
2x=600
Divide both sides
22x=2600
Divide the numbers
x=2600
Divide the numbers
More Steps
Evaluate
2600
Reduce the numbers
1300
Calculate
300
x=300
x=0x=300
Solution
x1=0,x2=300
Show Solution