7*p^2+5*p-8=-6

Solution for 7*p^2+5*p-8=-6 equation:

Simplifying
7p2 + 5p + -8 = -6

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

Solving
-8 + 5p + 7p2 = -6

Solving for variable 'p'.

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

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

Combine like terms: -6 + 6 = 0
-2 + 5p + 7p2 = 0

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

Subproblem 1
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
Subproblem 2
Set the factor '(2 + -7p)' equal to zero and attempt to solve:

Simplifying
2 + -7p = 0

Solving
2 + -7p = 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 + -7p = 0 + -2

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

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

Divide each side by '-7'.
p = 0.2857142857

Simplifying
p = 0.2857142857
Solution
p = {-1, 0.2857142857}