7p^2-12p-2=5p-8

Solution for 7p^2-12p-2=5p-8 equation:

Simplifying
7p2 + -12p + -2 = 5p + -8

Reorder the terms:
-2 + -12p + 7p2 = 5p + -8

Reorder the terms:
-2 + -12p + 7p2 = -8 + 5p

Solving
-2 + -12p + 7p2 = -8 + 5p

Solving for variable 'p'.

Reorder the terms:
-2 + 8 + -12p + -5p + 7p2 = -8 + 5p + 8 + -5p

Combine like terms: -2 + 8 = 6
6 + -12p + -5p + 7p2 = -8 + 5p + 8 + -5p

Combine like terms: -12p + -5p = -17p
6 + -17p + 7p2 = -8 + 5p + 8 + -5p

Reorder the terms:
6 + -17p + 7p2 = -8 + 8 + 5p + -5p

Combine like terms: -8 + 8 = 0
6 + -17p + 7p2 = 0 + 5p + -5p
6 + -17p + 7p2 = 5p + -5p

Combine like terms: 5p + -5p = 0
6 + -17p + 7p2 = 0

Factor a trinomial.
(3 + -7p)(2 + -1p) = 0

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

Simplifying
3 + -7p = 0

Solving
3 + -7p = 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 + -7p = 0 + -3

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

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

Divide each side by '-7'.
p = 0.4285714286

Simplifying
p = 0.4285714286
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

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

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

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {0.4285714286, 2}