5p^2-21p-32=-4-8p

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Solution for 5p^2-21p-32=-4-8p equation: 


Simplifying
5p2 + -21p + -32 = -4 + -8p

Reorder the terms:
-32 + -21p + 5p2 = -4 + -8p

Solving
-32 + -21p + 5p2 = -4 + -8p

Solving for variable 'p'.

Reorder the terms:
-32 + 4 + -21p + 8p + 5p2 = -4 + -8p + 4 + 8p

Combine like terms: -32 + 4 = -28
-28 + -21p + 8p + 5p2 = -4 + -8p + 4 + 8p

Combine like terms: -21p + 8p = -13p
-28 + -13p + 5p2 = -4 + -8p + 4 + 8p

Reorder the terms:
-28 + -13p + 5p2 = -4 + 4 + -8p + 8p

Combine like terms: -4 + 4 = 0
-28 + -13p + 5p2 = 0 + -8p + 8p
-28 + -13p + 5p2 = -8p + 8p

Combine like terms: -8p + 8p = 0
-28 + -13p + 5p2 = 0

Factor a trinomial.
(-7 + -5p)(4 + -1p) = 0


Subproblem 1
Set the factor '(-7 + -5p)' equal to zero and attempt to solve:

Simplifying
-7 + -5p = 0

Solving
-7 + -5p = 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 + -5p = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5p = 0 + 7
-5p = 0 + 7

Combine like terms: 0 + 7 = 7
-5p = 7

Divide each side by '-5'.
p = -1.4

Simplifying
p = -1.4

Subproblem 2
Set the factor '(4 + -1p)' equal to zero and attempt to solve:

Simplifying
4 + -1p = 0

Solving
4 + -1p = 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 + -1p = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1p = 0 + -4
-1p = 0 + -4

Combine like terms: 0 + -4 = -4
-1p = -4

Divide each side by '-1'.
p = 4

Simplifying
p = 4
Solution
p = {-1.4, 4}

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