175p^2-70p-17=4

Solution for 175p^2-70p-17=4 equation:

Simplifying
175p2 + -70p + -17 = 4

Reorder the terms:
-17 + -70p + 175p2 = 4

Solving
-17 + -70p + 175p2 = 4

Solving for variable 'p'.

Reorder the terms:
-17 + -4 + -70p + 175p2 = 4 + -4

Combine like terms: -17 + -4 = -21
-21 + -70p + 175p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-21 + -70p + 175p2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + -10p + 25p2) = 0

Factor a trinomial.
7((-1 + -5p)(3 + -5p)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(-1 + -5p)' equal to zero and attempt to solve:

Simplifying
-1 + -5p = 0

Solving
-1 + -5p = 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 + -5p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5p = 0 + 1
-5p = 0 + 1

Combine like terms: 0 + 1 = 1
-5p = 1

Divide each side by '-5'.
p = -0.2

Simplifying
p = -0.2
Subproblem 2
Set the factor '(3 + -5p)' equal to zero and attempt to solve:

Simplifying
3 + -5p = 0

Solving
3 + -5p = 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 + -5p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5p = 0 + -3
-5p = 0 + -3

Combine like terms: 0 + -3 = -3
-5p = -3

Divide each side by '-5'.
p = 0.6

Simplifying
p = 0.6
Solution
p = {-0.2, 0.6}