7p^2+63=-42p

Solution for 7p^2+63=-42p equation:

Simplifying
7p2 + 63 = -42p

Reorder the terms:
63 + 7p2 = -42p

Solving
63 + 7p2 = -42p

Solving for variable 'p'.

Reorder the terms:
63 + 42p + 7p2 = -42p + 42p

Combine like terms: -42p + 42p = 0
63 + 42p + 7p2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(9 + 6p + p2) = 0

Factor a trinomial.
7((3 + p)(3 + p)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(3 + p)' equal to zero and attempt to solve:

Simplifying
3 + p = 0

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

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

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

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

Simplifying
3 + p = 0

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

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

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

Simplifying
p = -3
Solution
p = {-3, -3}