6p^2-7p=20

Solution for 6p^2-7p=20 equation:

Simplifying
6p2 + -7p = 20

Reorder the terms:
-7p + 6p2 = 20

Solving
-7p + 6p2 = 20

Solving for variable 'p'.

Reorder the terms:
-20 + -7p + 6p2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -7p + 6p2 = 0

Factor a trinomial.
(-4 + -3p)(5 + -2p) = 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 '(5 + -2p)' equal to zero and attempt to solve:

Simplifying
5 + -2p = 0

Solving
5 + -2p = 0

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

Add '-5' to each side of the equation.
5 + -5 + -2p = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2p = 0 + -5
-2p = 0 + -5

Combine like terms: 0 + -5 = -5
-2p = -5

Divide each side by '-2'.
p = 2.5

Simplifying
p = 2.5
Solution
p = {-1.333333333, 2.5}