Question
Simplify the expression
x+4x6
Evaluate
x−4(−x6)
Multiply the numbers
x−(−4x6)
Solution
x+4x6
Show Solution

Factor the expression
x(1+4x5)
Evaluate
x−4(−x6)
Multiply the numbers
More Steps

Evaluate
4(−1)
Simplify
−4
Evaluate
−4x6
x−(−4x6)
Rewrite the expression
x+4x6
Rewrite the expression
x+x×4x5
Solution
x(1+4x5)
Show Solution

Find the roots
x1=−258,x2=0
Alternative Form
x1≈−0.757858,x2=0
Evaluate
x−4(−x6)
To find the roots of the expression,set the expression equal to 0
x−4(−x6)=0
Multiply the numbers
x−(−4x6)=0
Rewrite the expression
x+4x6=0
Factor the expression
x(1+4x5)=0
Separate the equation into 2 possible cases
x=01+4x5=0
Solve the equation
More Steps

Evaluate
1+4x5=0
Move the constant to the right-hand side and change its sign
4x5=0−1
Removing 0 doesn't change the value,so remove it from the expression
4x5=−1
Divide both sides
44x5=4−1
Divide the numbers
x5=4−1
Use b−a=−ba=−ba to rewrite the fraction
x5=−41
Take the 5-th root on both sides of the equation
5x5=5−41
Calculate
x=5−41
Simplify the root
More Steps

Evaluate
5−41
An odd root of a negative radicand is always a negative
−541
To take a root of a fraction,take the root of the numerator and denominator separately
−5451
Simplify the radical expression
−541
Multiply by the Conjugate
54×544−544
Simplify
54×544−258
Multiply the numbers
22−258
Reduce the fraction
2−58
Calculate
−258
x=−258
x=0x=−258
Solution
x1=−258,x2=0
Alternative Form
x1≈−0.757858,x2=0
Show Solution
