(-4p^2-p+9)+(p^2+3p-1)=

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Solution for (-4p^2-p+9)+(p^2+3p-1)= equation: 


Simplifying
(-4p2 + -1p + 9) + (p2 + 3p + -1) = 0

Reorder the terms:
(9 + -1p + -4p2) + (p2 + 3p + -1) = 0

Remove parenthesis around (9 + -1p + -4p2)
9 + -1p + -4p2 + (p2 + 3p + -1) = 0

Reorder the terms:
9 + -1p + -4p2 + (-1 + 3p + p2) = 0

Remove parenthesis around (-1 + 3p + p2)
9 + -1p + -4p2 + -1 + 3p + p2 = 0

Reorder the terms:
9 + -1 + -1p + 3p + -4p2 + p2 = 0

Combine like terms: 9 + -1 = 8
8 + -1p + 3p + -4p2 + p2 = 0

Combine like terms: -1p + 3p = 2p
8 + 2p + -4p2 + p2 = 0

Combine like terms: -4p2 + p2 = -3p2
8 + 2p + -3p2 = 0

Solving
8 + 2p + -3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(2 + -1p)(4 + 3p) = 0


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

Simplifying
2 + -1p = 0

Solving
2 + -1p = 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 + -1p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1p = 0 + -2
-1p = 0 + -2

Combine like terms: 0 + -2 = -2
-1p = -2

Divide each side by '-1'.
p = 2

Simplifying
p = 2

Subproblem 2
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
Solution
p = {2, -1.333333333}

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