(6p-3)(4-5p)=

Solution for (6p-3)(4-5p)= equation:

Simplifying
(6p + -3)(4 + -5p) = 0

Reorder the terms:
(-3 + 6p)(4 + -5p) = 0

Multiply (-3 + 6p) * (4 + -5p)
(-3(4 + -5p) + 6p * (4 + -5p)) = 0
((4 * -3 + -5p * -3) + 6p * (4 + -5p)) = 0
((-12 + 15p) + 6p * (4 + -5p)) = 0
(-12 + 15p + (4 * 6p + -5p * 6p)) = 0
(-12 + 15p + (24p + -30p2)) = 0

Combine like terms: 15p + 24p = 39p
(-12 + 39p + -30p2) = 0

Solving
-12 + 39p + -30p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 13p + -10p2) = 0

Factor a trinomial.
3((-4 + 5p)(1 + -2p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + 5p)' equal to zero and attempt to solve:

Simplifying
-4 + 5p = 0

Solving
-4 + 5p = 0

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

Add '4' to each side of the equation.
-4 + 4 + 5p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 5p = 0 + 4
5p = 0 + 4

Combine like terms: 0 + 4 = 4
5p = 4

Divide each side by '5'.
p = 0.8

Simplifying
p = 0.8
Subproblem 2
Set the factor '(1 + -2p)' equal to zero and attempt to solve:

Simplifying
1 + -2p = 0

Solving
1 + -2p = 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 + -2p = 0 + -1

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

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

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Solution
p = {0.8, 0.5}