Question
Solve the equation
x1=0,x2=2572
Alternative Form
x1=0,x2≈1.176079
Evaluate
36x−16x5×x=0
Multiply
More Steps

Evaluate
16x5×x
Multiply the terms with the same base by adding their exponents
16x5+1
Add the numbers
16x6
36x−16x6=0
Factor the expression
4x(9−4x5)=0
Divide both sides
x(9−4x5)=0
Separate the equation into 2 possible cases
x=09−4x5=0
Solve the equation
More Steps

Evaluate
9−4x5=0
Move the constant to the right-hand side and change its sign
−4x5=0−9
Removing 0 doesn't change the value,so remove it from the expression
−4x5=−9
Change the signs on both sides of the equation
4x5=9
Divide both sides
44x5=49
Divide the numbers
x5=49
Take the 5-th root on both sides of the equation
5x5=549
Calculate
x=549
Simplify the root
More Steps

Evaluate
549
To take a root of a fraction,take the root of the numerator and denominator separately
5459
Multiply by the Conjugate
54×54459×544
Simplify
54×54459×258
Multiply the numbers
54×5442572
Multiply the numbers
222572
Reduce the fraction
2572
x=2572
x=0x=2572
Solution
x1=0,x2=2572
Alternative Form
x1=0,x2≈1.176079
Show Solution
