Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x3−7x2
Evaluate
(x−7)x2
Multiply the terms
x2(x−7)
Apply the distributive property
x2×x−x2×7
Multiply the terms
More Steps
Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
x3−x2×7
Solution
x3−7x2
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Find the roots
x1=0,x2=7
Evaluate
(x−7)(x2)
To find the roots of the expression,set the expression equal to 0
(x−7)(x2)=0
Calculate
(x−7)x2=0
Multiply the terms
x2(x−7)=0
Separate the equation into 2 possible cases
x2=0x−7=0
The only way a power can be 0 is when the base equals 0
x=0x−7=0
Solve the equation
More Steps
Evaluate
x−7=0
Move the constant to the right-hand side and change its sign
x=0+7
Removing 0 doesn't change the value,so remove it from the expression
x=7
x=0x=7
Solution
x1=0,x2=7
Show Solution