7p^2+21p-26=2

Solution for 7p^2+21p-26=2 equation:

Simplifying
7p2 + 21p + -26 = 2

Reorder the terms:
-26 + 21p + 7p2 = 2

Solving
-26 + 21p + 7p2 = 2

Solving for variable 'p'.

Reorder the terms:
-26 + -2 + 21p + 7p2 = 2 + -2

Combine like terms: -26 + -2 = -28
-28 + 21p + 7p2 = 2 + -2

Combine like terms: 2 + -2 = 0
-28 + 21p + 7p2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-4 + 3p + p2) = 0

Factor a trinomial.
7((-4 + -1p)(1 + -1p)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-4 + -1p)' equal to zero and attempt to solve:

Simplifying
-4 + -1p = 0

Solving
-4 + -1p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1p = 0 + 4
-1p = 0 + 4

Combine like terms: 0 + 4 = 4
-1p = 4

Divide each side by '-1'.
p = -4

Simplifying
p = -4
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 1

Simplifying
p = 1
Solution
p = {-4, 1}