Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
2n2−20n5
Evaluate
2n2−10n5×2
Solution
2n2−20n5
Show Solution
Factor the expression
2n2(1−10n3)
Evaluate
2n2−10n5×2
Multiply the terms
2n2−20n5
Rewrite the expression
2n2−2n2×10n3
Solution
2n2(1−10n3)
Show Solution
Find the roots
n1=0,n2=103100
Alternative Form
n1=0,n2≈0.464159
Evaluate
2n2−10n5×2
To find the roots of the expression,set the expression equal to 0
2n2−10n5×2=0
Multiply the terms
2n2−20n5=0
Factor the expression
2n2(1−10n3)=0
Divide both sides
n2(1−10n3)=0
Separate the equation into 2 possible cases
n2=01−10n3=0
The only way a power can be 0 is when the base equals 0
n=01−10n3=0
Solve the equation
More Steps
Evaluate
1−10n3=0
Move the constant to the right-hand side and change its sign
−10n3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−10n3=−1
Change the signs on both sides of the equation
10n3=1
Divide both sides
1010n3=101
Divide the numbers
n3=101
Take the 3-th root on both sides of the equation
3n3=3101
Calculate
n=3101
Simplify the root
More Steps
Evaluate
3101
To take a root of a fraction,take the root of the numerator and denominator separately
31031
Simplify the radical expression
3101
Multiply by the Conjugate
310×31023102
Simplify
310×31023100
Multiply the numbers
103100
n=103100
n=0n=103100
Solution
n1=0,n2=103100
Alternative Form
n1=0,n2≈0.464159
Show Solution