Question
Simplify the expression
4x2−12000x6
Evaluate
4x2−480x6×25
Solution
4x2−12000x6
Show Solution

Factor the expression
4x2(1−3000x4)
Evaluate
4x2−480x6×25
Multiply the terms
4x2−12000x6
Rewrite the expression
4x2−4x2×3000x4
Solution
4x2(1−3000x4)
Show Solution

Find the roots
x1=−3000430003,x2=0,x3=3000430003
Alternative Form
x1≈−0.13512,x2=0,x3≈0.13512
Evaluate
4x2−480x6×25
To find the roots of the expression,set the expression equal to 0
4x2−480x6×25=0
Multiply the terms
4x2−12000x6=0
Factor the expression
4x2(1−3000x4)=0
Divide both sides
x2(1−3000x4)=0
Separate the equation into 2 possible cases
x2=01−3000x4=0
The only way a power can be 0 is when the base equals 0
x=01−3000x4=0
Solve the equation
More Steps

Evaluate
1−3000x4=0
Move the constant to the right-hand side and change its sign
−3000x4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−3000x4=−1
Change the signs on both sides of the equation
3000x4=1
Divide both sides
30003000x4=30001
Divide the numbers
x4=30001
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±430001
Simplify the expression
More Steps

Evaluate
430001
To take a root of a fraction,take the root of the numerator and denominator separately
4300041
Simplify the radical expression
430001
Multiply by the Conjugate
43000×430003430003
Multiply the numbers
3000430003
x=±3000430003
Separate the equation into 2 possible cases
x=3000430003x=−3000430003
x=0x=3000430003x=−3000430003
Solution
x1=−3000430003,x2=0,x3=3000430003
Alternative Form
x1≈−0.13512,x2=0,x3≈0.13512
Show Solution
