(7p+2)(p-3)=0

Solution for (7p+2)(p-3)=0 equation:

Simplifying
(7p + 2)(p + -3) = 0

Reorder the terms:
(2 + 7p)(p + -3) = 0

Reorder the terms:
(2 + 7p)(-3 + p) = 0

Multiply (2 + 7p) * (-3 + p)
(2(-3 + p) + 7p * (-3 + p)) = 0
((-3 * 2 + p * 2) + 7p * (-3 + p)) = 0
((-6 + 2p) + 7p * (-3 + p)) = 0
(-6 + 2p + (-3 * 7p + p * 7p)) = 0
(-6 + 2p + (-21p + 7p2)) = 0

Combine like terms: 2p + -21p = -19p
(-6 + -19p + 7p2) = 0

Solving
-6 + -19p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-2 + -7p)(3 + -1p) = 0

Subproblem 1
Set the factor '(-2 + -7p)' equal to zero and attempt to solve:

Simplifying
-2 + -7p = 0

Solving
-2 + -7p = 0

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

Add '2' to each side of the equation.
-2 + 2 + -7p = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -7p = 0 + 2
-7p = 0 + 2

Combine like terms: 0 + 2 = 2
-7p = 2

Divide each side by '-7'.
p = -0.2857142857

Simplifying
p = -0.2857142857
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 = {-0.2857142857, 3}