Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
xx−7x
Evaluate
x×(x−7)
Multiply each term in the parentheses by x
x×x+x×(−7)
Calculate the product
xx+x×(−7)
Solution
xx−7x
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Find the roots
x1=0,x2=7
Evaluate
x×(x−7)
To find the roots of the expression,set the expression equal to 0
x×(x−7)=0
Find the domain
x×(x−7)=0,x≥0
Calculate
x×(x−7)=0
Separate the equation into 2 possible cases
x=0x−7=0
The only way a root could be 0 is when the radicand equals 0
x=0x−7=0
Solve the equation
More Steps
Evaluate
x−7=0
Move the constant to the right-hand side and change its sign
x=0+7
Removing 0 doesn't change the value,so remove it from the expression
x=7
x=0x=7
Check if the solution is in the defined range
x=0x=7,x≥0
Find the intersection of the solution and the defined range
x=0x=7
Solution
x1=0,x2=7
Show Solution