70p^4+10p^3+60p^2=0

Solution for 70p^4+10p^3+60p^2=0 equation:

Simplifying
70p4 + 10p3 + 60p2 = 0

Reorder the terms:
60p2 + 10p3 + 70p4 = 0

Solving
60p2 + 10p3 + 70p4 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '10p2'.
10p2(6 + p + 7p2) = 0

Ignore the factor 10.
Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve:

Simplifying
p2 = 0

Solving
p2 = 0

Move all terms containing p to the left, all other terms to the right.

Simplifying
p2 = 0

Take the square root of each side:
p = {0}
Subproblem 2
Set the factor '(6 + p + 7p2)' equal to zero and attempt to solve:

Simplifying
6 + p + 7p2 = 0

Solving
6 + p + 7p2 = 0

Begin completing the square.  Divide all terms by
7 the coefficient of the squared term: 

Divide each side by '7'.
0.8571428571 + 0.1428571429p + p2 = 0

Move the constant term to the right:

Add '-0.8571428571' to each side of the equation.
0.8571428571 + 0.1428571429p + -0.8571428571 + p2 = 0 + -0.8571428571

Reorder the terms:
0.8571428571 + -0.8571428571 + 0.1428571429p + p2 = 0 + -0.8571428571

Combine like terms: 0.8571428571 + -0.8571428571 = 0.0000000000
0.0000000000 + 0.1428571429p + p2 = 0 + -0.8571428571
0.1428571429p + p2 = 0 + -0.8571428571

Combine like terms: 0 + -0.8571428571 = -0.8571428571
0.1428571429p + p2 = -0.8571428571

The p term is p.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
0.1428571429p + 0.25 + p2 = -0.8571428571 + 0.25

Reorder the terms:
0.25 + 0.1428571429p + p2 = -0.8571428571 + 0.25

Combine like terms: -0.8571428571 + 0.25 = -0.6071428571
0.25 + 0.1428571429p + p2 = -0.6071428571

Factor a perfect square on the left side:
(p + 0.5)(p + 0.5) = -0.6071428571

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
p = {0}