Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5x−511x2
Evaluate
5x−7x×73x
Solution
More Steps
Evaluate
7x×73x
Multiply the terms
511x×x
Multiply the terms
511x2
5x−511x2
Show Solution
Factor the expression
x(5−511x)
Evaluate
5x−7x×73x
Multiply
More Steps
Evaluate
7x×73x
Multiply the terms
511x×x
Multiply the terms
511x2
5x−511x2
Rewrite the expression
x×5−x×511x
Solution
x(5−511x)
Show Solution
Find the roots
x1=0,x2=5115
Alternative Form
x1=0,x2≈0.009785
Evaluate
5x−7x×73x
To find the roots of the expression,set the expression equal to 0
5x−7x×73x=0
Multiply
More Steps
Multiply the terms
7x×73x
Multiply the terms
511x×x
Multiply the terms
511x2
5x−511x2=0
Factor the expression
More Steps
Evaluate
5x−511x2
Rewrite the expression
x×5−x×511x
Factor out x from the expression
x(5−511x)
x(5−511x)=0
When the product of factors equals 0,at least one factor is 0
x=05−511x=0
Solve the equation for x
More Steps
Evaluate
5−511x=0
Move the constant to the right-hand side and change its sign
−511x=0−5
Removing 0 doesn't change the value,so remove it from the expression
−511x=−5
Change the signs on both sides of the equation
511x=5
Divide both sides
511511x=5115
Divide the numbers
x=5115
x=0x=5115
Solution
x1=0,x2=5115
Alternative Form
x1=0,x2≈0.009785
Show Solution