Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
x−2x5+4x4
Evaluate
x−2(x4(x−2))
Remove the parentheses
x−2x4(x−2)
Solution
More Steps
Evaluate
−2x4(x−2)
Apply the distributive property
−2x4×x−(−2x4×2)
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
−2x5−(−2x4×2)
Multiply the numbers
−2x5−(−4x4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x5+4x4
x−2x5+4x4
Show Solution
Factor the expression
x(1−2x4+4x3)
Evaluate
x−2(x4(x−2))
Remove the parentheses
x−2x4(x−2)
Rewrite the expression
x−x×2x3(x−2)
Factor out x from the expression
x(1−2x3(x−2))
Solution
x(1−2x4+4x3)
Show Solution
Find the roots
x1≈−0.578786,x2=0,x3≈2.057412
Evaluate
x−2((x4)(x−2))
To find the roots of the expression,set the expression equal to 0
x−2((x4)(x−2))=0
Calculate
x−2(x4(x−2))=0
Multiply the terms
x−2x4(x−2)=0
Calculate
More Steps
Evaluate
−2x4(x−2)
Apply the distributive property
−2x4×x−(−2x4×2)
Multiply the terms
More Steps
Evaluate
x4×x
Use the product rule an×am=an+m to simplify the expression
x4+1
Add the numbers
x5
−2x5−(−2x4×2)
Multiply the numbers
−2x5−(−4x4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−2x5+4x4
x−2x5+4x4=0
Factor the expression
x(1−2x4+4x3)=0
Separate the equation into 2 possible cases
x=01−2x4+4x3=0
Solve the equation
x=0x≈−0.578786x≈2.057412
Solution
x1≈−0.578786,x2=0,x3≈2.057412
Show Solution