Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x7−6x6
Evaluate
(x−6)x6
Multiply the terms
x6(x−6)
Apply the distributive property
x6×x−x6×6
Multiply the terms
More Steps
Evaluate
x6×x
Use the product rule an×am=an+m to simplify the expression
x6+1
Add the numbers
x7
x7−x6×6
Solution
x7−6x6
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Find the roots
x1=0,x2=6
Evaluate
(x−6)(x6)
To find the roots of the expression,set the expression equal to 0
(x−6)(x6)=0
Calculate
(x−6)x6=0
Multiply the terms
x6(x−6)=0
Separate the equation into 2 possible cases
x6=0x−6=0
The only way a power can be 0 is when the base equals 0
x=0x−6=0
Solve the equation
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Evaluate
x−6=0
Move the constant to the right-hand side and change its sign
x=0+6
Removing 0 doesn't change the value,so remove it from the expression
x=6
x=0x=6
Solution
x1=0,x2=6
Show Solution