8p^2-18p-35=0

Solution for 8p^2-18p-35=0 equation:

Simplifying
8p2 + -18p + -35 = 0

Reorder the terms:
-35 + -18p + 8p2 = 0

Solving
-35 + -18p + 8p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-5 + -4p)(7 + -2p) = 0

Subproblem 1
Set the factor '(-5 + -4p)' equal to zero and attempt to solve:

Simplifying
-5 + -4p = 0

Solving
-5 + -4p = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4p = 0 + 5
-4p = 0 + 5

Combine like terms: 0 + 5 = 5
-4p = 5

Divide each side by '-4'.
p = -1.25

Simplifying
p = -1.25
Subproblem 2
Set the factor '(7 + -2p)' equal to zero and attempt to solve:

Simplifying
7 + -2p = 0

Solving
7 + -2p = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2p = 0 + -7

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

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

Divide each side by '-2'.
p = 3.5

Simplifying
p = 3.5
Solution
p = {-1.25, 3.5}