Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−4p4−35p
Evaluate
−2p4×2−35p
Solution
−4p4−35p
Show Solution
Factor the expression
−p(4p3+35)
Evaluate
−2p4×2−35p
Multiply the terms
−4p4−35p
Rewrite the expression
−p×4p3−p×35
Solution
−p(4p3+35)
Show Solution
Find the roots
p1=−2370,p2=0
Alternative Form
p1≈−2.060643,p2=0
Evaluate
−2(p4)×2−35p
To find the roots of the expression,set the expression equal to 0
−2(p4)×2−35p=0
Calculate
−2p4×2−35p=0
Multiply the terms
−4p4−35p=0
Factor the expression
−p(4p3+35)=0
Divide both sides
p(4p3+35)=0
Separate the equation into 2 possible cases
p=04p3+35=0
Solve the equation
More Steps
Evaluate
4p3+35=0
Move the constant to the right-hand side and change its sign
4p3=0−35
Removing 0 doesn't change the value,so remove it from the expression
4p3=−35
Divide both sides
44p3=4−35
Divide the numbers
p3=4−35
Use b−a=−ba=−ba to rewrite the fraction
p3=−435
Take the 3-th root on both sides of the equation
3p3=3−435
Calculate
p=3−435
Simplify the root
More Steps
Evaluate
3−435
An odd root of a negative radicand is always a negative
−3435
To take a root of a fraction,take the root of the numerator and denominator separately
−34335
Multiply by the Conjugate
34×342−335×342
Simplify
34×342−335×232
Multiply the numbers
34×342−2370
Multiply the numbers
22−2370
Reduce the fraction
2−370
Calculate
−2370
p=−2370
p=0p=−2370
Solution
p1=−2370,p2=0
Alternative Form
p1≈−2.060643,p2=0
Show Solution