Question
Simplify the expression
−10x4+5x3
Evaluate
−5x3(2x−1)
Apply the distributive property
−5x3×2x−(−5x3×1)
Multiply the terms
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Evaluate
−5x3×2x
Multiply the numbers
−10x3×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
−10x4
−10x4−(−5x3×1)
Any expression multiplied by 1 remains the same
−10x4−(−5x3)
Solution
−10x4+5x3
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Find the roots
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Evaluate
−5(x3)(2x−1)
To find the roots of the expression,set the expression equal to 0
−5(x3)(2x−1)=0
Calculate
−5x3(2x−1)=0
Change the sign
5x3(2x−1)=0
Elimination the left coefficient
x3(2x−1)=0
Separate the equation into 2 possible cases
x3=02x−1=0
The only way a power can be 0 is when the base equals 0
x=02x−1=0
Solve the equation
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Evaluate
2x−1=0
Move the constant to the right-hand side and change its sign
2x=0+1
Removing 0 doesn't change the value,so remove it from the expression
2x=1
Divide both sides
22x=21
Divide the numbers
x=21
x=0x=21
Solution
x1=0,x2=21
Alternative Form
x1=0,x2=0.5
Show Solution
