Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x212−6x7
Evaluate
3×x24−6x5
Multiply the terms
More Steps
Multiply the terms
3×x24
Multiply the terms
x23×4
Multiply the terms
x212
x212−6x5
Reduce fractions to a common denominator
x212−x26x5×x2
Write all numerators above the common denominator
x212−6x5×x2
Solution
More Steps
Evaluate
x5×x2
Use the product rule an×am=an+m to simplify the expression
x5+2
Add the numbers
x7
x212−6x7
Show Solution
Find the excluded values
x=0
Evaluate
3×x24−6x5
To find the excluded values,set the denominators equal to 0
x2=0
Solution
x=0
Show Solution
Find the roots
x=72
Alternative Form
x≈1.10409
Evaluate
3×x24−6x5
To find the roots of the expression,set the expression equal to 0
3×x24−6x5=0
The only way a power can not be 0 is when the base not equals 0
3×x24−6x5=0,x=0
Calculate
3×x24−6x5=0
Multiply the terms
More Steps
Multiply the terms
3×x24
Multiply the terms
x23×4
Multiply the terms
x212
x212−6x5=0
Subtract the terms
More Steps
Simplify
x212−6x5
Reduce fractions to a common denominator
x212−x26x5×x2
Write all numerators above the common denominator
x212−6x5×x2
Multiply the terms
More Steps
Evaluate
x5×x2
Use the product rule an×am=an+m to simplify the expression
x5+2
Add the numbers
x7
x212−6x7
x212−6x7=0
Cross multiply
12−6x7=x2×0
Simplify the equation
12−6x7=0
Rewrite the expression
−6x7=−12
Change the signs on both sides of the equation
6x7=12
Divide both sides
66x7=612
Divide the numbers
x7=612
Divide the numbers
More Steps
Evaluate
612
Reduce the numbers
12
Calculate
2
x7=2
Take the 7-th root on both sides of the equation
7x7=72
Calculate
x=72
Check if the solution is in the defined range
x=72,x=0
Solution
x=72
Alternative Form
x≈1.10409
Show Solution