(10p+3)(7p+6)=0

Solution for (10p+3)(7p+6)=0 equation:

Simplifying
(10p + 3)(7p + 6) = 0

Reorder the terms:
(3 + 10p)(7p + 6) = 0

Reorder the terms:
(3 + 10p)(6 + 7p) = 0

Multiply (3 + 10p) * (6 + 7p)
(3(6 + 7p) + 10p * (6 + 7p)) = 0
((6 * 3 + 7p * 3) + 10p * (6 + 7p)) = 0
((18 + 21p) + 10p * (6 + 7p)) = 0
(18 + 21p + (6 * 10p + 7p * 10p)) = 0
(18 + 21p + (60p + 70p2)) = 0

Combine like terms: 21p + 60p = 81p
(18 + 81p + 70p2) = 0

Solving
18 + 81p + 70p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(6 + 7p)(3 + 10p) = 0

Subproblem 1
Set the factor '(6 + 7p)' equal to zero and attempt to solve:

Simplifying
6 + 7p = 0

Solving
6 + 7p = 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 + 7p = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7p = 0 + -6
7p = 0 + -6

Combine like terms: 0 + -6 = -6
7p = -6

Divide each side by '7'.
p = -0.8571428571

Simplifying
p = -0.8571428571
Subproblem 2
Set the factor '(3 + 10p)' equal to zero and attempt to solve:

Simplifying
3 + 10p = 0

Solving
3 + 10p = 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 + 10p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 10p = 0 + -3
10p = 0 + -3

Combine like terms: 0 + -3 = -3
10p = -3

Divide each side by '10'.
p = -0.3

Simplifying
p = -0.3
Solution
p = {-0.8571428571, -0.3}