3=6p^2-7p

Solution for 3=6p^2-7p equation:

Simplifying
3 = 6p2 + -7p

Reorder the terms:
3 = -7p + 6p2

Solving
3 = -7p + 6p2

Solving for variable 'p'.

Reorder the terms:
3 + 7p + -6p2 = -7p + 7p + 6p2 + -6p2

Combine like terms: -7p + 7p = 0
3 + 7p + -6p2 = 0 + 6p2 + -6p2
3 + 7p + -6p2 = 6p2 + -6p2

Combine like terms: 6p2 + -6p2 = 0
3 + 7p + -6p2 = 0

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

Subproblem 1
Set the factor '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

Solving
3 + -2p = 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 + -2p = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2p = 0 + -3
-2p = 0 + -3

Combine like terms: 0 + -3 = -3
-2p = -3

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Subproblem 2
Set the factor '(1 + 3p)' equal to zero and attempt to solve:

Simplifying
1 + 3p = 0

Solving
1 + 3p = 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 + 3p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 3p = 0 + -1
3p = 0 + -1

Combine like terms: 0 + -1 = -1
3p = -1

Divide each side by '3'.
p = -0.3333333333

Simplifying
p = -0.3333333333
Solution
p = {1.5, -0.3333333333}