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
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Evaluate
x2(−x)
Use the commutative property to reorder the terms
−x2×x
Multiply the terms
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Evaluate
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
−x3
−x3−x2×7
Solution
−x3−7x2
Show Solution

Find the roots
x1=−7,x2=0
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=0−x−7=0
The only way a power can be 0 is when the base equals 0
x=0−x−7=0
Solve the equation
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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
Change the signs on both sides of the equation
x=−7
x=0x=−7
Solution
x1=−7,x2=0
Show Solution
