Question
Simplify the expression
−5x4+210x
Evaluate
−5x(x2×1×x−42)
Multiply the terms
More Steps

Evaluate
x2×1×x
Rewrite the expression
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
−5x(x3−42)
Apply the distributive property
−5x×x3−(−5x×42)
Multiply the terms
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Evaluate
x×x3
Use the product rule an×am=an+m to simplify the expression
x1+3
Add the numbers
x4
−5x4−(−5x×42)
Multiply the numbers
−5x4−(−210x)
Solution
−5x4+210x
Show Solution

Find the roots
x1=0,x2=342
Alternative Form
x1=0,x2≈3.476027
Evaluate
−5x(x2×1×x−42)
To find the roots of the expression,set the expression equal to 0
−5x(x2×1×x−42)=0
Multiply the terms
More Steps

Multiply the terms
x2×1×x
Rewrite the expression
x2×x
Use the product rule an×am=an+m to simplify the expression
x2+1
Add the numbers
x3
−5x(x3−42)=0
Change the sign
5x(x3−42)=0
Elimination the left coefficient
x(x3−42)=0
Separate the equation into 2 possible cases
x=0x3−42=0
Solve the equation
More Steps

Evaluate
x3−42=0
Move the constant to the right-hand side and change its sign
x3=0+42
Removing 0 doesn't change the value,so remove it from the expression
x3=42
Take the 3-th root on both sides of the equation
3x3=342
Calculate
x=342
x=0x=342
Solution
x1=0,x2=342
Alternative Form
x1=0,x2≈3.476027
Show Solution
