Question
Simplify the expression
9x2−45x
Evaluate
92÷x−5
Divide the terms
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Evaluate
92÷x
Multiply by the reciprocal
92×x1
Multiply the terms
9x2
9x2−5
Reduce fractions to a common denominator
9x2−9x5×9x
Write all numerators above the common denominator
9x2−5×9x
Solution
9x2−45x
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Find the excluded values
x=0
Evaluate
92÷x−5
Solution
x=0
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Find the roots
x=452
Alternative Form
x=0.04˙
Evaluate
92÷x−5
To find the roots of the expression,set the expression equal to 0
92÷x−5=0
Find the domain
92÷x−5=0,x=0
Calculate
92÷x−5=0
Divide the terms
More Steps

Evaluate
92÷x
Multiply by the reciprocal
92×x1
Multiply the terms
9x2
9x2−5=0
Subtract the terms
More Steps

Simplify
9x2−5
Reduce fractions to a common denominator
9x2−9x5×9x
Write all numerators above the common denominator
9x2−5×9x
Multiply the terms
9x2−45x
9x2−45x=0
Cross multiply
2−45x=9x×0
Simplify the equation
2−45x=0
Move the constant to the right side
−45x=0−2
Removing 0 doesn't change the value,so remove it from the expression
−45x=−2
Change the signs on both sides of the equation
45x=2
Divide both sides
4545x=452
Divide the numbers
x=452
Check if the solution is in the defined range
x=452,x=0
Solution
x=452
Alternative Form
x=0.04˙
Show Solution
