Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−x5x−5
Evaluate
−x×15x−5
Any expression multiplied by 1 remains the same
−x5x−5
Solution
−x5x−5
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Find the excluded values
x=0
Evaluate
−x×15x−5
To find the excluded values,set the denominators equal to 0
−x×1=0
Any expression multiplied by 1 remains the same
−x=0
Solution
x=0
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Find the roots
x=1
Evaluate
−x×15x−5
To find the roots of the expression,set the expression equal to 0
−x×15x−5=0
Find the domain
More Steps
Evaluate
−x×1=0
Any expression multiplied by 1 remains the same
−x=0
Change the signs on both sides of the equation
x=0
−x×15x−5=0,x=0
Calculate
−x×15x−5=0
Any expression multiplied by 1 remains the same
−x5x−5=0
Use b−a=−ba=−ba to rewrite the fraction
−x5x−5=0
Rewrite the expression
x−5x+5=0
Cross multiply
−5x+5=x×0
Simplify the equation
−5x+5=0
Move the constant to the right side
−5x=0−5
Removing 0 doesn't change the value,so remove it from the expression
−5x=−5
Change the signs on both sides of the equation
5x=5
Divide both sides
55x=55
Divide the numbers
x=55
Divide the numbers
More Steps
Evaluate
55
Reduce the numbers
11
Calculate
1
x=1
Check if the solution is in the defined range
x=1,x=0
Solution
x=1
Show Solution