Question
Simplify the expression
28x4−20x3
Evaluate
4x3(7x−5)
Apply the distributive property
4x3×7x−4x3×5
Multiply the terms
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Evaluate
4x3×7x
Multiply the numbers
28x3×x
Multiply the terms
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Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
28x4
28x4−4x3×5
Solution
28x4−20x3
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Find the roots
x1=0,x2=75
Alternative Form
x1=0,x2=0.7˙14285˙
Evaluate
(4x3)(7x−5)
To find the roots of the expression,set the expression equal to 0
(4x3)(7x−5)=0
Multiply the terms
4x3(7x−5)=0
Elimination the left coefficient
x3(7x−5)=0
Separate the equation into 2 possible cases
x3=07x−5=0
The only way a power can be 0 is when the base equals 0
x=07x−5=0
Solve the equation
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Evaluate
7x−5=0
Move the constant to the right-hand side and change its sign
7x=0+5
Removing 0 doesn't change the value,so remove it from the expression
7x=5
Divide both sides
77x=75
Divide the numbers
x=75
x=0x=75
Solution
x1=0,x2=75
Alternative Form
x1=0,x2=0.7˙14285˙
Show Solution
