2p^2+3p+1=1

Solution for 2p^2+3p+1=1 equation:

Simplifying
2p2 + 3p + 1 = 1

Reorder the terms:
1 + 3p + 2p2 = 1

Add '-1' to each side of the equation.
1 + 3p + -1 + 2p2 = 1 + -1

Reorder the terms:
1 + -1 + 3p + 2p2 = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 3p + 2p2 = 1 + -1
3p + 2p2 = 1 + -1

Combine like terms: 1 + -1 = 0
3p + 2p2 = 0

Solving
3p + 2p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(3 + 2p) = 0

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(3 + 2p)' equal to zero and attempt to solve:

Simplifying
3 + 2p = 0

Solving
3 + 2p = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2p = 0 + -3
2p = 0 + -3

Combine like terms: 0 + -3 = -3
2p = -3

Divide each side by '2'.
p = -1.5

Simplifying
p = -1.5
Solution
p = {0, -1.5}