(4p-3)(2p-6)=

Solution for (4p-3)(2p-6)= equation:

Simplifying
(4p + -3)(2p + -6) = 0

Reorder the terms:
(-3 + 4p)(2p + -6) = 0

Reorder the terms:
(-3 + 4p)(-6 + 2p) = 0

Multiply (-3 + 4p) * (-6 + 2p)
(-3(-6 + 2p) + 4p * (-6 + 2p)) = 0
((-6 * -3 + 2p * -3) + 4p * (-6 + 2p)) = 0
((18 + -6p) + 4p * (-6 + 2p)) = 0
(18 + -6p + (-6 * 4p + 2p * 4p)) = 0
(18 + -6p + (-24p + 8p2)) = 0

Combine like terms: -6p + -24p = -30p
(18 + -30p + 8p2) = 0

Solving
18 + -30p + 8p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '2'.
2(9 + -15p + 4p2) = 0

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

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

Simplifying
3 + -1p = 0

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

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

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

Divide each side by '-1'.
p = 3

Simplifying
p = 3
Solution
p = {0.75, 3}