(2p-4)(3p+1)=

Solution for (2p-4)(3p+1)= equation:

Simplifying
(2p + -4)(3p + 1) = 0

Reorder the terms:
(-4 + 2p)(3p + 1) = 0

Reorder the terms:
(-4 + 2p)(1 + 3p) = 0

Multiply (-4 + 2p) * (1 + 3p)
(-4(1 + 3p) + 2p * (1 + 3p)) = 0
((1 * -4 + 3p * -4) + 2p * (1 + 3p)) = 0
((-4 + -12p) + 2p * (1 + 3p)) = 0
(-4 + -12p + (1 * 2p + 3p * 2p)) = 0
(-4 + -12p + (2p + 6p2)) = 0

Combine like terms: -12p + 2p = -10p
(-4 + -10p + 6p2) = 0

Solving
-4 + -10p + 6p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -5p + 3p2) = 0

Factor a trinomial.
2((-1 + -3p)(2 + -1p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -3p)' equal to zero and attempt to solve:

Simplifying
-1 + -3p = 0

Solving
-1 + -3p = 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 + -3p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3p = 0 + 1
-3p = 0 + 1

Combine like terms: 0 + 1 = 1
-3p = 1

Divide each side by '-3'.
p = -0.3333333333

Simplifying
p = -0.3333333333
Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve:

Simplifying
2 + -1p = 0

Solving
2 + -1p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2
Solution
p = {-0.3333333333, 2}