-8p^2+8p-10=-8

Solution for -8p^2+8p-10=-8 equation:

Simplifying
-8p2 + 8p + -10 = -8

Reorder the terms:
-10 + 8p + -8p2 = -8

Solving
-10 + 8p + -8p2 = -8

Solving for variable 'p'.

Reorder the terms:
-10 + 8 + 8p + -8p2 = -8 + 8

Combine like terms: -10 + 8 = -2
-2 + 8p + -8p2 = -8 + 8

Combine like terms: -8 + 8 = 0
-2 + 8p + -8p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 4p + -4p2) = 0

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

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

Simplifying
-1 + 2p = 0

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

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

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

Divide each side by '2'.
p = 0.5

Simplifying
p = 0.5
Subproblem 2
Set the factor '(1 + -2p)' equal to zero and attempt to solve:

Simplifying
1 + -2p = 0

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

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

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

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Solution
p = {0.5, 0.5}