3-p=6p^2-4

Solution for 3-p=6p^2-4 equation:

Simplifying
3 + -1p = 6p2 + -4

Reorder the terms:
3 + -1p = -4 + 6p2

Solving
3 + -1p = -4 + 6p2

Solving for variable 'p'.

Reorder the terms:
3 + 4 + -1p + -6p2 = -4 + 6p2 + 4 + -6p2

Combine like terms: 3 + 4 = 7
7 + -1p + -6p2 = -4 + 6p2 + 4 + -6p2

Reorder the terms:
7 + -1p + -6p2 = -4 + 4 + 6p2 + -6p2

Combine like terms: -4 + 4 = 0
7 + -1p + -6p2 = 0 + 6p2 + -6p2
7 + -1p + -6p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
7 + -1p + -6p2 = 0

Factor a trinomial.
(1 + -1p)(7 + 6p) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(7 + 6p)' equal to zero and attempt to solve:

Simplifying
7 + 6p = 0

Solving
7 + 6p = 0

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

Add '-7' to each side of the equation.
7 + -7 + 6p = 0 + -7

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

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

Divide each side by '6'.
p = -1.166666667

Simplifying
p = -1.166666667
Solution
p = {1, -1.166666667}