7p^2+33p=10

Solution for 7p^2+33p=10 equation:

Simplifying
7p2 + 33p = 10

Reorder the terms:
33p + 7p2 = 10

Solving
33p + 7p2 = 10

Solving for variable 'p'.

Reorder the terms:
-10 + 33p + 7p2 = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 33p + 7p2 = 0

Factor a trinomial.
(-5 + -1p)(2 + -7p) = 0

Subproblem 1
Set the factor '(-5 + -1p)' equal to zero and attempt to solve:

Simplifying
-5 + -1p = 0

Solving
-5 + -1p = 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 + -1p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1p = 0 + 5
-1p = 0 + 5

Combine like terms: 0 + 5 = 5
-1p = 5

Divide each side by '-1'.
p = -5

Simplifying
p = -5
Subproblem 2
Set the factor '(2 + -7p)' equal to zero and attempt to solve:

Simplifying
2 + -7p = 0

Solving
2 + -7p = 0

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

Add '-2' to each side of the equation.
2 + -2 + -7p = 0 + -2

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

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

Divide each side by '-7'.
p = 0.2857142857

Simplifying
p = 0.2857142857
Solution
p = {-5, 0.2857142857}