Question
Simplify the expression
5x2−120x6
Evaluate
5x2−15x6×8
Solution
5x2−120x6
Show Solution

Factor the expression
5x2(1−24x4)
Evaluate
5x2−15x6×8
Multiply the terms
5x2−120x6
Rewrite the expression
5x2−5x2×24x4
Solution
5x2(1−24x4)
Show Solution

Find the roots
x1=−6454,x2=0,x3=6454
Alternative Form
x1≈−0.451801,x2=0,x3≈0.451801
Evaluate
5x2−15x6×8
To find the roots of the expression,set the expression equal to 0
5x2−15x6×8=0
Multiply the terms
5x2−120x6=0
Factor the expression
5x2(1−24x4)=0
Divide both sides
x2(1−24x4)=0
Separate the equation into 2 possible cases
x2=01−24x4=0
The only way a power can be 0 is when the base equals 0
x=01−24x4=0
Solve the equation
More Steps

Evaluate
1−24x4=0
Move the constant to the right-hand side and change its sign
−24x4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−24x4=−1
Change the signs on both sides of the equation
24x4=1
Divide both sides
2424x4=241
Divide the numbers
x4=241
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4241
Simplify the expression
More Steps

Evaluate
4241
To take a root of a fraction,take the root of the numerator and denominator separately
42441
Simplify the radical expression
4241
Multiply by the Conjugate
424×42434243
Simplify
424×42434454
Multiply the numbers
244454
Cancel out the common factor 4
6454
x=±6454
Separate the equation into 2 possible cases
x=6454x=−6454
x=0x=6454x=−6454
Solution
x1=−6454,x2=0,x3=6454
Alternative Form
x1≈−0.451801,x2=0,x3≈0.451801
Show Solution
