p(6p+1)(6p-1)=

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Solution for p(6p+1)(6p-1)= equation:


Simplifying
p(6p + 1)(6p + -1) = 0

Reorder the terms:
p(1 + 6p)(6p + -1) = 0

Reorder the terms:
p(1 + 6p)(-1 + 6p) = 0

Multiply (1 + 6p) * (-1 + 6p)
p(1(-1 + 6p) + 6p * (-1 + 6p)) = 0
p((-1 * 1 + 6p * 1) + 6p * (-1 + 6p)) = 0
p((-1 + 6p) + 6p * (-1 + 6p)) = 0
p(-1 + 6p + (-1 * 6p + 6p * 6p)) = 0
p(-1 + 6p + (-6p + 36p2)) = 0

Combine like terms: 6p + -6p = 0
p(-1 + 0 + 36p2) = 0
p(-1 + 36p2) = 0
(-1 * p + 36p2 * p) = 0
(-1p + 36p3) = 0

Solving
-1p + 36p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(-1 + 36p2) = 0

Factor a difference between two squares.
p((1 + 6p)(-1 + 6p)) = 0

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 '(1 + 6p)' equal to zero and attempt to solve: Simplifying 1 + 6p = 0 Solving 1 + 6p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6p = 0 + -1 6p = 0 + -1 Combine like terms: 0 + -1 = -1 6p = -1 Divide each side by '6'. p = -0.1666666667 Simplifying p = -0.1666666667

Subproblem 3

Set the factor '(-1 + 6p)' equal to zero and attempt to solve: Simplifying -1 + 6p = 0 Solving -1 + 6p = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6p = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6p = 0 + 1 6p = 0 + 1 Combine like terms: 0 + 1 = 1 6p = 1 Divide each side by '6'. p = 0.1666666667 Simplifying p = 0.1666666667

Solution

p = {0, -0.1666666667, 0.1666666667}

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