400000000p^4+40000p^2+1=1

Solution for 400000000p^4+40000p^2+1=1 equation:

Simplifying
400000000p4 + 40000p2 + 1 = 1

Reorder the terms:
1 + 40000p2 + 400000000p4 = 1

Add '-1' to each side of the equation.
1 + 40000p2 + -1 + 400000000p4 = 1 + -1

Reorder the terms:
1 + -1 + 40000p2 + 400000000p4 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 40000p2 + 400000000p4 = 1 + -1
40000p2 + 400000000p4 = 1 + -1

Combine like terms: 1 + -1 = 0
40000p2 + 400000000p4 = 0

Solving
40000p2 + 400000000p4 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '40000p2'.
40000p2(1 + 10000p2) = 0

Ignore the factor 40000.
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 '(1 + 10000p2)' equal to zero and attempt to solve:

Simplifying
1 + 10000p2 = 0

Solving
1 + 10000p2 = 0

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

Add '-1' to each side of the equation.
1 + -1 + 10000p2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 10000p2 = 0 + -1
10000p2 = 0 + -1

Combine like terms: 0 + -1 = -1
10000p2 = -1

Divide each side by '10000'.
p2 = -0.0001

Simplifying
p2 = -0.0001

The solution to this equation could not be determined.

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