-2(p-5)7p=-5

Solution for -2(p-5)7p=-5 equation:

Simplifying
-2(p + -5) * 7p = -5

Reorder the terms:
-2(-5 + p) * 7p = -5

Reorder the terms for easier multiplication:
-2 * 7p(-5 + p) = -5

Multiply -2 * 7
-14p(-5 + p) = -5
(-5 * -14p + p * -14p) = -5
(70p + -14p2) = -5

Solving
70p + -14p2 = -5

Solving for variable 'p'.

Reorder the terms:
5 + 70p + -14p2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 70p + -14p2 = 0

Begin completing the square.  Divide all terms by
-14 the coefficient of the squared term: 

Divide each side by '-14'.
-0.3571428571 + -5p + p2 = 0

Move the constant term to the right:

Add '0.3571428571' to each side of the equation.
-0.3571428571 + -5p + 0.3571428571 + p2 = 0 + 0.3571428571

Reorder the terms:
-0.3571428571 + 0.3571428571 + -5p + p2 = 0 + 0.3571428571

Combine like terms: -0.3571428571 + 0.3571428571 = 0.0000000000
0.0000000000 + -5p + p2 = 0 + 0.3571428571
-5p + p2 = 0 + 0.3571428571

Combine like terms: 0 + 0.3571428571 = 0.3571428571
-5p + p2 = 0.3571428571

The p term is -5p.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5p + 6.25 + p2 = 0.3571428571 + 6.25

Reorder the terms:
6.25 + -5p + p2 = 0.3571428571 + 6.25

Combine like terms: 0.3571428571 + 6.25 = 6.6071428571
6.25 + -5p + p2 = 6.6071428571

Factor a perfect square on the left side:
(p + -2.5)(p + -2.5) = 6.6071428571

Calculate the square root of the right side: 2.570436316

Break this problem into two subproblems by setting 
(p + -2.5) equal to 2.570436316 and -2.570436316.

Subproblem 1
p + -2.5 = 2.570436316

Simplifying
p + -2.5 = 2.570436316

Reorder the terms:
-2.5 + p = 2.570436316

Solving
-2.5 + p = 2.570436316

Solving for variable 'p'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + p = 2.570436316 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + p = 2.570436316 + 2.5
p = 2.570436316 + 2.5

Combine like terms: 2.570436316 + 2.5 = 5.070436316
p = 5.070436316

Simplifying
p = 5.070436316

Subproblem 2
p + -2.5 = -2.570436316

Simplifying
p + -2.5 = -2.570436316

Reorder the terms:
-2.5 + p = -2.570436316

Solving
-2.5 + p = -2.570436316

Solving for variable 'p'.

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

Add '2.5' to each side of the equation.
-2.5 + 2.5 + p = -2.570436316 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + p = -2.570436316 + 2.5
p = -2.570436316 + 2.5

Combine like terms: -2.570436316 + 2.5 = -0.070436316
p = -0.070436316

Simplifying
p = -0.070436316

Solution
The solution to the problem is based on the solutions
from the subproblems.
p = {5.070436316, -0.070436316}