(7p-3)(-2p-4p+1)=

Solution for (7p-3)(-2p-4p+1)= equation:

Simplifying
(7p + -3)(-2p + -4p + 1) = 0

Reorder the terms:
(-3 + 7p)(-2p + -4p + 1) = 0

Reorder the terms:
(-3 + 7p)(1 + -2p + -4p) = 0

Combine like terms: -2p + -4p = -6p
(-3 + 7p)(1 + -6p) = 0

Multiply (-3 + 7p) * (1 + -6p)
(-3(1 + -6p) + 7p * (1 + -6p)) = 0
((1 * -3 + -6p * -3) + 7p * (1 + -6p)) = 0
((-3 + 18p) + 7p * (1 + -6p)) = 0
(-3 + 18p + (1 * 7p + -6p * 7p)) = 0
(-3 + 18p + (7p + -42p2)) = 0

Combine like terms: 18p + 7p = 25p
(-3 + 25p + -42p2) = 0

Solving
-3 + 25p + -42p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-3 + 7p)(1 + -6p) = 0

Subproblem 1
Set the factor '(-3 + 7p)' equal to zero and attempt to solve:

Simplifying
-3 + 7p = 0

Solving
-3 + 7p = 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 + 7p = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 7p = 0 + 3
7p = 0 + 3

Combine like terms: 0 + 3 = 3
7p = 3

Divide each side by '7'.
p = 0.4285714286

Simplifying
p = 0.4285714286
Subproblem 2
Set the factor '(1 + -6p)' equal to zero and attempt to solve:

Simplifying
1 + -6p = 0

Solving
1 + -6p = 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 + -6p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6p = 0 + -1
-6p = 0 + -1

Combine like terms: 0 + -1 = -1
-6p = -1

Divide each side by '-6'.
p = 0.1666666667

Simplifying
p = 0.1666666667
Solution
p = {0.4285714286, 0.1666666667}