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

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

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

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

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

Multiply (-3 + 6p) * (6 + 5p)
(-3(6 + 5p) + 6p * (6 + 5p)) = 0
((6 * -3 + 5p * -3) + 6p * (6 + 5p)) = 0
((-18 + -15p) + 6p * (6 + 5p)) = 0
(-18 + -15p + (6 * 6p + 5p * 6p)) = 0
(-18 + -15p + (36p + 30p2)) = 0

Combine like terms: -15p + 36p = 21p
(-18 + 21p + 30p2) = 0

Solving
-18 + 21p + 30p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 7p + 10p2) = 0

Factor a trinomial.
3((-6 + -5p)(1 + -2p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-6 + -5p)' equal to zero and attempt to solve:

Simplifying
-6 + -5p = 0

Solving
-6 + -5p = 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 + -5p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5p = 0 + 6
-5p = 0 + 6

Combine like terms: 0 + 6 = 6
-5p = 6

Divide each side by '-5'.
p = -1.2

Simplifying
p = -1.2
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 = {-1.2, 0.5}