Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
7x6−49x5
Evaluate
(x2−7x)×7x4
Multiply the terms
7x4(x2−7x)
Apply the distributive property
7x4×x2−7x4×7x
Multiply the terms
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Evaluate
x4×x2
Use the product rule an×am=an+m to simplify the expression
x4+2
Add the numbers
x6
7x6−7x4×7x
Solution
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Evaluate
7x4×7x
Multiply the numbers
49x4×x
Multiply the terms
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Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
49x5
7x6−49x5
Show Solution
Factor the expression
7x5(x−7)
Evaluate
(x2−7x)×7x4
Multiply the terms
7x4(x2−7x)
Factor the expression
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Evaluate
x2−7x
Rewrite the expression
x×x−x×7
Factor out x from the expression
x(x−7)
7x4×x(x−7)
Solution
7x5(x−7)
Show Solution
Find the roots
x1=0,x2=7
Evaluate
(x2−7x)(7x4)
To find the roots of the expression,set the expression equal to 0
(x2−7x)(7x4)=0
Multiply the terms
(x2−7x)×7x4=0
Multiply the terms
7x4(x2−7x)=0
Elimination the left coefficient
x4(x2−7x)=0
Separate the equation into 2 possible cases
x4=0x2−7x=0
The only way a power can be 0 is when the base equals 0
x=0x2−7x=0
Solve the equation
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Evaluate
x2−7x=0
Factor the expression
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Evaluate
x2−7x
Rewrite the expression
x×x−x×7
Factor out x from the expression
x(x−7)
x(x−7)=0
When the product of factors equals 0,at least one factor is 0
x=0x−7=0
Solve the equation for x
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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
x=0x=7
x=0x=0x=7
Find the union
x=0x=7
Solution
x1=0,x2=7
Show Solution