Question
Simplify the expression
4x7+x
Evaluate
(2x4×2x3−x)−(−2(x×1))
Remove the parentheses
(2x4×2x3−x)−(−2x×1)
Multiply
More Steps

Multiply the terms
2x4×2x3
Multiply the terms
4x4×x3
Multiply the terms with the same base by adding their exponents
4x4+3
Add the numbers
4x7
(4x7−x)−(−2x×1)
Remove the parentheses
4x7−x−(−2x×1)
Multiply the terms
4x7−x−(−2x)
Rewrite the expression
4x7−x+2x
Solution
More Steps

Evaluate
−x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−1+2)x
Add the numbers
x
4x7+x
Show Solution

Factor the expression
x(4x6+1)
Evaluate
(2x4×2x3−x)−(−2(x×1))
Remove the parentheses
(2x4×2x3−x)−(−2x×1)
Multiply
More Steps

Multiply the terms
2x4×2x3
Multiply the terms
4x4×x3
Multiply the terms with the same base by adding their exponents
4x4+3
Add the numbers
4x7
(4x7−x)−(−2x×1)
Remove the parentheses
4x7−x−(−2x×1)
Any expression multiplied by 1 remains the same
4x7−x−(−2x)
Rewrite the expression
4x7−x+2x
Add the terms
More Steps

Evaluate
−x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−1+2)x
Add the numbers
x
4x7+x
Rewrite the expression
x×4x6+x
Solution
x(4x6+1)
Show Solution

Find the roots
x1=−46432+434i,x2=46432−434i,x3=0
Alternative Form
x1≈−0.687365+0.39685i,x2≈0.687365−0.39685i,x3=0
Evaluate
(2x4×2x3−x)−(−2(x×1))
To find the roots of the expression,set the expression equal to 0
(2x4×2x3−x)−(−2(x×1))=0
Multiply
More Steps

Multiply the terms
2x4×2x3
Multiply the terms
4x4×x3
Multiply the terms with the same base by adding their exponents
4x4+3
Add the numbers
4x7
(4x7−x)−(−2(x×1))=0
Remove the parentheses
4x7−x−(−2(x×1))=0
Any expression multiplied by 1 remains the same
4x7−x−(−2x)=0
Subtract the terms
More Steps

Simplify
4x7−x−(−2x)
Rewrite the expression
4x7−x+2x
Add the terms
More Steps

Evaluate
−x+2x
Collect like terms by calculating the sum or difference of their coefficients
(−1+2)x
Add the numbers
x
4x7+x
4x7+x=0
Factor the expression
x(4x6+1)=0
Separate the equation into 2 possible cases
x=04x6+1=0
Solve the equation
More Steps

Evaluate
4x6+1=0
Move the constant to the right-hand side and change its sign
4x6=0−1
Removing 0 doesn't change the value,so remove it from the expression
4x6=−1
Divide both sides
44x6=4−1
Divide the numbers
x6=4−1
Use b−a=−ba=−ba to rewrite the fraction
x6=−41
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±6−41
Simplify the expression
More Steps

Evaluate
6−41
To take a root of a fraction,take the root of the numerator and denominator separately
6−461
Simplify the radical expression
6−41
Simplify the radical expression
26108+232i1
Multiply by the Conjugate
(26108+232i)(26108−232i)26108−232i
Calculate
3426108−232i
Simplify
2346108−2321i
Rearrange the numbers
226432−2321i
Rearrange the numbers
226432−434i
x=±(226432−434i)
Separate the equation into 2 possible cases
x=226432−434ix=−226432+434i
Calculate
x=46432−434ix=−226432+434i
Calculate
x=46432−434ix=−46432+434i
x=0x=46432−434ix=−46432+434i
Solution
x1=−46432+434i,x2=46432−434i,x3=0
Alternative Form
x1≈−0.687365+0.39685i,x2≈0.687365−0.39685i,x3=0
Show Solution
