36p-49p^3=0

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Solution for 36p-49p^3=0 equation:


Simplifying
36p + -49p3 = 0

Solving
36p + -49p3 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'p'.
p(36 + -49p2) = 0

Factor a difference between two squares.
p((6 + 7p)(6 + -7p)) = 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 '(6 + 7p)' equal to zero and attempt to solve: Simplifying 6 + 7p = 0 Solving 6 + 7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 7p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 7p = 0 + -6 7p = 0 + -6 Combine like terms: 0 + -6 = -6 7p = -6 Divide each side by '7'. p = -0.8571428571 Simplifying p = -0.8571428571

Subproblem 3

Set the factor '(6 + -7p)' equal to zero and attempt to solve: Simplifying 6 + -7p = 0 Solving 6 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7p = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7p = 0 + -6 -7p = 0 + -6 Combine like terms: 0 + -6 = -6 -7p = -6 Divide each side by '-7'. p = 0.8571428571 Simplifying p = 0.8571428571

Solution

p = {0, -0.8571428571, 0.8571428571}

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