-3p(7p+4)-2(4-20p)=3(8+6p)

Solution for -3p(7p+4)-2(4-20p)=3(8+6p) equation:

Simplifying
-3p(7p + 4) + -2(4 + -20p) = 3(8 + 6p)

Reorder the terms:
-3p(4 + 7p) + -2(4 + -20p) = 3(8 + 6p)
(4 * -3p + 7p * -3p) + -2(4 + -20p) = 3(8 + 6p)
(-12p + -21p2) + -2(4 + -20p) = 3(8 + 6p)
-12p + -21p2 + (4 * -2 + -20p * -2) = 3(8 + 6p)
-12p + -21p2 + (-8 + 40p) = 3(8 + 6p)

Reorder the terms:
-8 + -12p + 40p + -21p2 = 3(8 + 6p)

Combine like terms: -12p + 40p = 28p
-8 + 28p + -21p2 = 3(8 + 6p)
-8 + 28p + -21p2 = (8 * 3 + 6p * 3)
-8 + 28p + -21p2 = (24 + 18p)

Solving
-8 + 28p + -21p2 = 24 + 18p

Solving for variable 'p'.

Reorder the terms:
-8 + -24 + 28p + -18p + -21p2 = 24 + 18p + -24 + -18p

Combine like terms: -8 + -24 = -32
-32 + 28p + -18p + -21p2 = 24 + 18p + -24 + -18p

Combine like terms: 28p + -18p = 10p
-32 + 10p + -21p2 = 24 + 18p + -24 + -18p

Reorder the terms:
-32 + 10p + -21p2 = 24 + -24 + 18p + -18p

Combine like terms: 24 + -24 = 0
-32 + 10p + -21p2 = 0 + 18p + -18p
-32 + 10p + -21p2 = 18p + -18p

Combine like terms: 18p + -18p = 0
-32 + 10p + -21p2 = 0

Begin completing the square.  Divide all terms by
-21 the coefficient of the squared term: 

Divide each side by '-21'.
1.523809524 + -0.4761904762p + p2 = 0

Move the constant term to the right:

Add '-1.523809524' to each side of the equation.
1.523809524 + -0.4761904762p + -1.523809524 + p2 = 0 + -1.523809524

Reorder the terms:
1.523809524 + -1.523809524 + -0.4761904762p + p2 = 0 + -1.523809524

Combine like terms: 1.523809524 + -1.523809524 = 0.000000000
0.000000000 + -0.4761904762p + p2 = 0 + -1.523809524
-0.4761904762p + p2 = 0 + -1.523809524

Combine like terms: 0 + -1.523809524 = -1.523809524
-0.4761904762p + p2 = -1.523809524

The p term is -0.4761904762p.  Take half its coefficient (-0.2380952381).
Square it (0.05668934241) and add it to both sides.

Add '0.05668934241' to each side of the equation.
-0.4761904762p + 0.05668934241 + p2 = -1.523809524 + 0.05668934241

Reorder the terms:
0.05668934241 + -0.4761904762p + p2 = -1.523809524 + 0.05668934241

Combine like terms: -1.523809524 + 0.05668934241 = -1.46712018159
0.05668934241 + -0.4761904762p + p2 = -1.46712018159

Factor a perfect square on the left side:
(p + -0.2380952381)(p + -0.2380952381) = -1.46712018159

Can't calculate square root of the right side.

The solution to this equation could not be determined.