x^2+2px(2p+3)=0

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Solution for x^2+2px(2p+3)=0 equation: 


Simplifying
x2 + 2px(2p + 3) = 0

Reorder the terms:
x2 + 2px(3 + 2p) = 0
x2 + (3 * 2px + 2p * 2px) = 0
x2 + (6px + 4p2x) = 0

Reorder the terms:
6px + 4p2x + x2 = 0

Solving
6px + 4p2x + x2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(6p + 4p2 + x) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(6p + 4p2 + x)' equal to zero and attempt to solve:

Simplifying
6p + 4p2 + x = 0

Solving
6p + 4p2 + x = 0

The solution to this equation could not be determined.

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

The solution to this equation could not be determined.

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