Question
Simplify the expression
36x7−20x4
Evaluate
4x4(9x3−5)
Apply the distributive property
4x4×9x3−4x4×5
Multiply the terms
More Steps

Evaluate
4x4×9x3
Multiply the numbers
36x4×x3
Multiply the terms
More Steps

Evaluate
x4×x3
Use the product rule an×am=an+m to simplify the expression
x4+3
Add the numbers
x7
36x7
36x7−4x4×5
Solution
36x7−20x4
Show Solution

Find the roots
x1=0,x2=3315
Alternative Form
x1=0,x2≈0.822071
Evaluate
4x4(9x3−5)
To find the roots of the expression,set the expression equal to 0
4x4(9x3−5)=0
Elimination the left coefficient
x4(9x3−5)=0
Separate the equation into 2 possible cases
x4=09x3−5=0
The only way a power can be 0 is when the base equals 0
x=09x3−5=0
Solve the equation
More Steps

Evaluate
9x3−5=0
Move the constant to the right-hand side and change its sign
9x3=0+5
Removing 0 doesn't change the value,so remove it from the expression
9x3=5
Divide both sides
99x3=95
Divide the numbers
x3=95
Take the 3-th root on both sides of the equation
3x3=395
Calculate
x=395
Simplify the root
More Steps

Evaluate
395
To take a root of a fraction,take the root of the numerator and denominator separately
3935
Multiply by the Conjugate
39×39235×392
Simplify
39×39235×333
Multiply the numbers
39×3923315
Multiply the numbers
323315
Reduce the fraction
3315
x=3315
x=0x=3315
Solution
x1=0,x2=3315
Alternative Form
x1=0,x2≈0.822071
Show Solution
