(3p-2)(3p-2)-4=0

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Solution for (3p-2)(3p-2)-4=0 equation: 


Simplifying
(3p + -2)(3p + -2) + -4 = 0

Reorder the terms:
(-2 + 3p)(3p + -2) + -4 = 0

Reorder the terms:
(-2 + 3p)(-2 + 3p) + -4 = 0

Multiply (-2 + 3p) * (-2 + 3p)
(-2(-2 + 3p) + 3p * (-2 + 3p)) + -4 = 0
((-2 * -2 + 3p * -2) + 3p * (-2 + 3p)) + -4 = 0
((4 + -6p) + 3p * (-2 + 3p)) + -4 = 0
(4 + -6p + (-2 * 3p + 3p * 3p)) + -4 = 0
(4 + -6p + (-6p + 9p2)) + -4 = 0

Combine like terms: -6p + -6p = -12p
(4 + -12p + 9p2) + -4 = 0

Reorder the terms:
4 + -4 + -12p + 9p2 = 0

Combine like terms: 4 + -4 = 0
0 + -12p + 9p2 = 0
-12p + 9p2 = 0

Solving
-12p + 9p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3p'.
3p(-4 + 3p) = 0

Ignore the factor 3.

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

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0

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 = {0, 1.333333333}

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