(4p-3)(5p+1)=

Solution for (4p-3)(5p+1)= equation:

Simplifying
(4p + -3)(5p + 1) = 0

Reorder the terms:
(-3 + 4p)(5p + 1) = 0

Reorder the terms:
(-3 + 4p)(1 + 5p) = 0

Multiply (-3 + 4p) * (1 + 5p)
(-3(1 + 5p) + 4p * (1 + 5p)) = 0
((1 * -3 + 5p * -3) + 4p * (1 + 5p)) = 0
((-3 + -15p) + 4p * (1 + 5p)) = 0
(-3 + -15p + (1 * 4p + 5p * 4p)) = 0
(-3 + -15p + (4p + 20p2)) = 0

Combine like terms: -15p + 4p = -11p
(-3 + -11p + 20p2) = 0

Solving
-3 + -11p + 20p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-1 + -5p)(3 + -4p) = 0

Subproblem 1
Set the factor '(-1 + -5p)' equal to zero and attempt to solve:

Simplifying
-1 + -5p = 0

Solving
-1 + -5p = 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 + -5p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5p = 0 + 1
-5p = 0 + 1

Combine like terms: 0 + 1 = 1
-5p = 1

Divide each side by '-5'.
p = -0.2

Simplifying
p = -0.2
Subproblem 2
Set the factor '(3 + -4p)' equal to zero and attempt to solve:

Simplifying
3 + -4p = 0

Solving
3 + -4p = 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 + -4p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4p = 0 + -3
-4p = 0 + -3

Combine like terms: 0 + -3 = -3
-4p = -3

Divide each side by '-4'.
p = 0.75

Simplifying
p = 0.75
Solution
p = {-0.2, 0.75}