2p^2+5p-21=6p

Solution for 2p^2+5p-21=6p equation:

Simplifying
2p2 + 5p + -21 = 6p

Reorder the terms:
-21 + 5p + 2p2 = 6p

Solving
-21 + 5p + 2p2 = 6p

Solving for variable 'p'.

Reorder the terms:
-21 + 5p + -6p + 2p2 = 6p + -6p

Combine like terms: 5p + -6p = -1p
-21 + -1p + 2p2 = 6p + -6p

Combine like terms: 6p + -6p = 0
-21 + -1p + 2p2 = 0

Factor a trinomial.
(-3 + -1p)(7 + -2p) = 0

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

Simplifying
-3 + -1p = 0

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

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

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

Divide each side by '-1'.
p = -3

Simplifying
p = -3
Subproblem 2
Set the factor '(7 + -2p)' equal to zero and attempt to solve:

Simplifying
7 + -2p = 0

Solving
7 + -2p = 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 + -2p = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2p = 0 + -7
-2p = 0 + -7

Combine like terms: 0 + -7 = -7
-2p = -7

Divide each side by '-2'.
p = 3.5

Simplifying
p = 3.5
Solution
p = {-3, 3.5}