-7p-2=3p^2

Solution for -7p-2=3p^2 equation:

Simplifying
-7p + -2 = 3p2

Reorder the terms:
-2 + -7p = 3p2

Solving
-2 + -7p = 3p2

Solving for variable 'p'.

Combine like terms: 3p2 + -3p2 = 0
-2 + -7p + -3p2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(2 + 7p + 3p2) = 0

Factor a trinomial.
-1((2 + p)(1 + 3p)) = 0

Ignore the factor -1.
Subproblem 1
Set the factor '(2 + p)' equal to zero and attempt to solve:

Simplifying
2 + p = 0

Solving
2 + p = 0

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

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

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

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

Simplifying
p = -2
Subproblem 2
Set the factor '(1 + 3p)' equal to zero and attempt to solve:

Simplifying
1 + 3p = 0

Solving
1 + 3p = 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 + 3p = 0 + -1

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

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

Divide each side by '3'.
p = -0.3333333333

Simplifying
p = -0.3333333333
Solution
p = {-2, -0.3333333333}