=2pr^2(2pr+5p^2r-15p)

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Solution for =2pr^2(2pr+5p^2r-15p) equation: 


Simplifying
0 = 2pr2(2pr + 5p2r + -15p)

Reorder the terms:
0 = 2pr2(-15p + 2pr + 5p2r)
0 = (-15p * 2pr2 + 2pr * 2pr2 + 5p2r * 2pr2)
0 = (-30p2r2 + 4p2r3 + 10p3r3)

Solving
0 = -30p2r2 + 4p2r3 + 10p3r3

Solving for variable 'p'.
Remove the zero:
30p2r2 + -4p2r3 + -10p3r3 = -30p2r2 + 4p2r3 + 10p3r3 + 30p2r2 + -4p2r3 + -10p3r3

Reorder the terms:
30p2r2 + -4p2r3 + -10p3r3 = -30p2r2 + 30p2r2 + 4p2r3 + -4p2r3 + 10p3r3 + -10p3r3

Combine like terms: -30p2r2 + 30p2r2 = 0
30p2r2 + -4p2r3 + -10p3r3 = 0 + 4p2r3 + -4p2r3 + 10p3r3 + -10p3r3
30p2r2 + -4p2r3 + -10p3r3 = 4p2r3 + -4p2r3 + 10p3r3 + -10p3r3

Combine like terms: 4p2r3 + -4p2r3 = 0
30p2r2 + -4p2r3 + -10p3r3 = 0 + 10p3r3 + -10p3r3
30p2r2 + -4p2r3 + -10p3r3 = 10p3r3 + -10p3r3

Combine like terms: 10p3r3 + -10p3r3 = 0
30p2r2 + -4p2r3 + -10p3r3 = 0

Factor out the Greatest Common Factor (GCF), '2p2r2'.
2p2r2(15 + -2r + -5pr) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'p2r2' equal to zero and attempt to solve:

Simplifying
p2r2 = 0

Solving
p2r2 = 0

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

Simplifying
p2r2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(15 + -2r + -5pr)' equal to zero and attempt to solve:

Simplifying
15 + -2r + -5pr = 0

Reorder the terms:
15 + -5pr + -2r = 0

Solving
15 + -5pr + -2r = 0

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

Add '-15' to each side of the equation.
15 + -5pr + -15 + -2r = 0 + -15

Reorder the terms:
15 + -15 + -5pr + -2r = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -5pr + -2r = 0 + -15
-5pr + -2r = 0 + -15

Combine like terms: 0 + -15 = -15
-5pr + -2r = -15

Add '2r' to each side of the equation.
-5pr + -2r + 2r = -15 + 2r

Combine like terms: -2r + 2r = 0
-5pr + 0 = -15 + 2r
-5pr = -15 + 2r

Divide each side by '-5r'.
p = 3r-1 + -0.4

Simplifying
p = 3r-1 + -0.4

Reorder the terms:
p = -0.4 + 3r-1
Solution
p = {-0.4 + 3r-1}

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