Question
Simplify the expression
25x3−10x2
Evaluate
(5x−2)×5x2
Multiply the terms
5x2(5x−2)
Apply the distributive property
5x2×5x−5x2×2
Multiply the terms
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Evaluate
5x2×5x
Multiply the numbers
25x2×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
25x3
25x3−5x2×2
Solution
25x3−10x2
Show Solution

Find the roots
x1=0,x2=52
Alternative Form
x1=0,x2=0.4
Evaluate
(5x−2)(5x2)
To find the roots of the expression,set the expression equal to 0
(5x−2)(5x2)=0
Multiply the terms
(5x−2)×5x2=0
Multiply the terms
5x2(5x−2)=0
Elimination the left coefficient
x2(5x−2)=0
Separate the equation into 2 possible cases
x2=05x−2=0
The only way a power can be 0 is when the base equals 0
x=05x−2=0
Solve the equation
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Evaluate
5x−2=0
Move the constant to the right-hand side and change its sign
5x=0+2
Removing 0 doesn't change the value,so remove it from the expression
5x=2
Divide both sides
55x=52
Divide the numbers
x=52
x=0x=52
Solution
x1=0,x2=52
Alternative Form
x1=0,x2=0.4
Show Solution
