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

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

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

Reorder the terms:
4p(3 + 2p) + -3p(2 + -3p) = 0
(3 * 4p + 2p * 4p) + -3p(2 + -3p) = 0
(12p + 8p2) + -3p(2 + -3p) = 0
12p + 8p2 + (2 * -3p + -3p * -3p) = 0
12p + 8p2 + (-6p + 9p2) = 0

Reorder the terms:
12p + -6p + 8p2 + 9p2 = 0

Combine like terms: 12p + -6p = 6p
6p + 8p2 + 9p2 = 0

Combine like terms: 8p2 + 9p2 = 17p2
6p + 17p2 = 0

Solving
6p + 17p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(6 + 17p) = 0

Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(6 + 17p)' equal to zero and attempt to solve:

Simplifying
6 + 17p = 0

Solving
6 + 17p = 0

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

Add '-6' to each side of the equation.
6 + -6 + 17p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 17p = 0 + -6
17p = 0 + -6

Combine like terms: 0 + -6 = -6
17p = -6

Divide each side by '17'.
p = -0.3529411765

Simplifying
p = -0.3529411765
Solution
p = {0, -0.3529411765}