5p(6+p)-4p(2p-1)=

Solution for 5p(6+p)-4p(2p-1)= equation:

Simplifying
5p(6 + p) + -4p(2p + -1) = 0
(6 * 5p + p * 5p) + -4p(2p + -1) = 0
(30p + 5p2) + -4p(2p + -1) = 0

Reorder the terms:
30p + 5p2 + -4p(-1 + 2p) = 0
30p + 5p2 + (-1 * -4p + 2p * -4p) = 0
30p + 5p2 + (4p + -8p2) = 0

Reorder the terms:
30p + 4p + 5p2 + -8p2 = 0

Combine like terms: 30p + 4p = 34p
34p + 5p2 + -8p2 = 0

Combine like terms: 5p2 + -8p2 = -3p2
34p + -3p2 = 0

Solving
34p + -3p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(34 + -3p) = 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 '(34 + -3p)' equal to zero and attempt to solve:

Simplifying
34 + -3p = 0

Solving
34 + -3p = 0

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

Add '-34' to each side of the equation.
34 + -34 + -3p = 0 + -34

Combine like terms: 34 + -34 = 0
0 + -3p = 0 + -34
-3p = 0 + -34

Combine like terms: 0 + -34 = -34
-3p = -34

Divide each side by '-3'.
p = 11.33333333

Simplifying
p = 11.33333333
Solution
p = {0, 11.33333333}