(3p+4)(p-1)=0

Solution for (3p+4)(p-1)=0 equation:

Simplifying
(3p + 4)(p + -1) = 0

Reorder the terms:
(4 + 3p)(p + -1) = 0

Reorder the terms:
(4 + 3p)(-1 + p) = 0

Multiply (4 + 3p) * (-1 + p)
(4(-1 + p) + 3p * (-1 + p)) = 0
((-1 * 4 + p * 4) + 3p * (-1 + p)) = 0
((-4 + 4p) + 3p * (-1 + p)) = 0
(-4 + 4p + (-1 * 3p + p * 3p)) = 0
(-4 + 4p + (-3p + 3p2)) = 0

Combine like terms: 4p + -3p = 1p
(-4 + 1p + 3p2) = 0

Solving
-4 + 1p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -3p)(1 + -1p) = 0

Subproblem 1
Set the factor '(-4 + -3p)' equal to zero and attempt to solve:

Simplifying
-4 + -3p = 0

Solving
-4 + -3p = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3p = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3p = 0 + 4
-3p = 0 + 4

Combine like terms: 0 + 4 = 4
-3p = 4

Divide each side by '-3'.
p = -1.333333333

Simplifying
p = -1.333333333
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 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 + -1p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1

Combine like terms: 0 + -1 = -1
-1p = -1

Divide each side by '-1'.
p = 1

Simplifying
p = 1
Solution
p = {-1.333333333, 1}