Question
Simplify the expression
321x4−435x
Evaluate
x2×161x2×21−7x−47x
Multiply
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Multiply the terms
x2×161x2×21
Multiply the terms with the same base by adding their exponents
x2+2×161×21
Add the numbers
x4×161×21
Multiply the terms
More Steps

Evaluate
161×21
To multiply the fractions,multiply the numerators and denominators separately
16×21
Multiply the numbers
321
x4×321
Use the commutative property to reorder the terms
321x4
321x4−7x−47x
Solution
More Steps

Evaluate
−7x−47x
Collect like terms by calculating the sum or difference of their coefficients
(−7−47)x
Subtract the numbers
More Steps

Evaluate
−7−47
Reduce fractions to a common denominator
−47×4−47
Write all numerators above the common denominator
4−7×4−7
Multiply the numbers
4−28−7
Subtract the numbers
4−35
Use b−a=−ba=−ba to rewrite the fraction
−435
−435x
321x4−435x
Show Solution

Factor the expression
321x(x3−280)
Evaluate
x2×161x2×21−7x−47x
Multiply
More Steps

Multiply the terms
x2×161x2×21
Multiply the terms with the same base by adding their exponents
x2+2×161×21
Add the numbers
x4×161×21
Multiply the terms
More Steps

Evaluate
161×21
To multiply the fractions,multiply the numerators and denominators separately
16×21
Multiply the numbers
321
x4×321
Use the commutative property to reorder the terms
321x4
321x4−7x−47x
Subtract the terms
More Steps

Evaluate
−7x−47x
Collect like terms by calculating the sum or difference of their coefficients
(−7−47)x
Subtract the numbers
More Steps

Evaluate
−7−47
Reduce fractions to a common denominator
−47×4−47
Write all numerators above the common denominator
4−7×4−7
Multiply the numbers
4−28−7
Subtract the numbers
4−35
Use b−a=−ba=−ba to rewrite the fraction
−435
−435x
321x4−435x
Rewrite the expression
321x×x3−321x×280
Solution
321x(x3−280)
Show Solution

Find the roots
x1=0,x2=2335
Alternative Form
x1=0,x2≈6.542133
Evaluate
x2×161x2×21−7x−47x
To find the roots of the expression,set the expression equal to 0
x2×161x2×21−7x−47x=0
Multiply
More Steps

Multiply the terms
x2×161x2×21
Multiply the terms with the same base by adding their exponents
x2+2×161×21
Add the numbers
x4×161×21
Multiply the terms
More Steps

Evaluate
161×21
To multiply the fractions,multiply the numerators and denominators separately
16×21
Multiply the numbers
321
x4×321
Use the commutative property to reorder the terms
321x4
321x4−7x−47x=0
Subtract the terms
More Steps

Simplify
321x4−7x−47x
Subtract the terms
More Steps

Evaluate
−7x−47x
Collect like terms by calculating the sum or difference of their coefficients
(−7−47)x
Subtract the numbers
−435x
321x4−435x
321x4−435x=0
Factor the expression
x(321x3−435)=0
Separate the equation into 2 possible cases
x=0321x3−435=0
Solve the equation
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Evaluate
321x3−435=0
Move the constant to the right-hand side and change its sign
321x3=0+435
Add the terms
321x3=435
Multiply by the reciprocal
321x3×32=435×32
Multiply
x3=435×32
Multiply
More Steps

Evaluate
435×32
Reduce the numbers
35×8
Multiply the numbers
280
x3=280
Take the 3-th root on both sides of the equation
3x3=3280
Calculate
x=3280
Simplify the root
More Steps

Evaluate
3280
Write the expression as a product where the root of one of the factors can be evaluated
38×35
Write the number in exponential form with the base of 2
323×35
The root of a product is equal to the product of the roots of each factor
323×335
Reduce the index of the radical and exponent with 3
2335
x=2335
x=0x=2335
Solution
x1=0,x2=2335
Alternative Form
x1=0,x2≈6.542133
Show Solution
