5p^2=48p-64

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Solution for 5p^2=48p-64 equation: 


Simplifying
5p2 = 48p + -64

Reorder the terms:
5p2 = -64 + 48p

Solving
5p2 = -64 + 48p

Solving for variable 'p'.

Reorder the terms:
64 + -48p + 5p2 = -64 + 48p + 64 + -48p

Reorder the terms:
64 + -48p + 5p2 = -64 + 64 + 48p + -48p

Combine like terms: -64 + 64 = 0
64 + -48p + 5p2 = 0 + 48p + -48p
64 + -48p + 5p2 = 48p + -48p

Combine like terms: 48p + -48p = 0
64 + -48p + 5p2 = 0

Factor a trinomial.
(8 + -5p)(8 + -1p) = 0


Subproblem 1
Set the factor '(8 + -5p)' equal to zero and attempt to solve:

Simplifying
8 + -5p = 0

Solving
8 + -5p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5p = 0 + -8
-5p = 0 + -8

Combine like terms: 0 + -8 = -8
-5p = -8

Divide each side by '-5'.
p = 1.6

Simplifying
p = 1.6

Subproblem 2
Set the factor '(8 + -1p)' equal to zero and attempt to solve:

Simplifying
8 + -1p = 0

Solving
8 + -1p = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1p = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1p = 0 + -8
-1p = 0 + -8

Combine like terms: 0 + -8 = -8
-1p = -8

Divide each side by '-1'.
p = 8

Simplifying
p = 8
Solution
p = {1.6, 8}

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