-2p^2-9p+35=3p-3p^2

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Solution for -2p^2-9p+35=3p-3p^2 equation: 


Simplifying
-2p2 + -9p + 35 = 3p + -3p2

Reorder the terms:
35 + -9p + -2p2 = 3p + -3p2

Solving
35 + -9p + -2p2 = 3p + -3p2

Solving for variable 'p'.

Reorder the terms:
35 + -9p + -3p + -2p2 + 3p2 = 3p + -3p2 + -3p + 3p2

Combine like terms: -9p + -3p = -12p
35 + -12p + -2p2 + 3p2 = 3p + -3p2 + -3p + 3p2

Combine like terms: -2p2 + 3p2 = 1p2
35 + -12p + 1p2 = 3p + -3p2 + -3p + 3p2

Reorder the terms:
35 + -12p + 1p2 = 3p + -3p + -3p2 + 3p2

Combine like terms: 3p + -3p = 0
35 + -12p + 1p2 = 0 + -3p2 + 3p2
35 + -12p + 1p2 = -3p2 + 3p2

Combine like terms: -3p2 + 3p2 = 0
35 + -12p + 1p2 = 0

Factor a trinomial.
(5 + -1p)(7 + -1p) = 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 '(7 + -1p)' equal to zero and attempt to solve:

Simplifying
7 + -1p = 0

Solving
7 + -1p = 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 + -1p = 0 + -7

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

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

Divide each side by '-1'.
p = 7

Simplifying
p = 7
Solution
p = {5, 7}

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