7p(p-2)+2(p+4)=0

Solution for 7p(p-2)+2(p+4)=0 equation:

Simplifying
7p(p + -2) + 2(p + 4) = 0

Reorder the terms:
7p(-2 + p) + 2(p + 4) = 0
(-2 * 7p + p * 7p) + 2(p + 4) = 0
(-14p + 7p2) + 2(p + 4) = 0

Reorder the terms:
-14p + 7p2 + 2(4 + p) = 0
-14p + 7p2 + (4 * 2 + p * 2) = 0
-14p + 7p2 + (8 + 2p) = 0

Reorder the terms:
8 + -14p + 2p + 7p2 = 0

Combine like terms: -14p + 2p = -12p
8 + -12p + 7p2 = 0

Solving
8 + -12p + 7p2 = 0

Solving for variable 'p'.

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

Divide each side by '7'.
1.142857143 + -1.714285714p + p2 = 0

Move the constant term to the right:

Add '-1.142857143' to each side of the equation.
1.142857143 + -1.714285714p + -1.142857143 + p2 = 0 + -1.142857143

Reorder the terms:
1.142857143 + -1.142857143 + -1.714285714p + p2 = 0 + -1.142857143

Combine like terms: 1.142857143 + -1.142857143 = 0.000000000
0.000000000 + -1.714285714p + p2 = 0 + -1.142857143
-1.714285714p + p2 = 0 + -1.142857143

Combine like terms: 0 + -1.142857143 = -1.142857143
-1.714285714p + p2 = -1.142857143

The p term is -1.714285714p.  Take half its coefficient (-0.857142857).
Square it (0.7346938773) and add it to both sides.

Add '0.7346938773' to each side of the equation.
-1.714285714p + 0.7346938773 + p2 = -1.142857143 + 0.7346938773

Reorder the terms:
0.7346938773 + -1.714285714p + p2 = -1.142857143 + 0.7346938773

Combine like terms: -1.142857143 + 0.7346938773 = -0.4081632657
0.7346938773 + -1.714285714p + p2 = -0.4081632657

Factor a perfect square on the left side:
(p + -0.857142857)(p + -0.857142857) = -0.4081632657

Can't calculate square root of the right side.

The solution to this equation could not be determined.