p(16p-12)=4

Solution for p(16p-12)=4 equation:

Simplifying
p(16p + -12) = 4

Reorder the terms:
p(-12 + 16p) = 4
(-12 * p + 16p * p) = 4
(-12p + 16p2) = 4

Solving
-12p + 16p2 = 4

Solving for variable 'p'.

Reorder the terms:
-4 + -12p + 16p2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -12p + 16p2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-1 + -3p + 4p2) = 0

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

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

Simplifying
-1 + -4p = 0

Solving
-1 + -4p = 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 + -4p = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4p = 0 + 1
-4p = 0 + 1

Combine like terms: 0 + 1 = 1
-4p = 1

Divide each side by '-4'.
p = -0.25

Simplifying
p = -0.25
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 = {-0.25, 1}