(7p^2+4)(7p^2+4)=0

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Solution for (7p^2+4)(7p^2+4)=0 equation:


Simplifying
(7p2 + 4)(7p2 + 4) = 0

Reorder the terms:
(4 + 7p2)(7p2 + 4) = 0

Reorder the terms:
(4 + 7p2)(4 + 7p2) = 0

Multiply (4 + 7p2) * (4 + 7p2)
(4(4 + 7p2) + 7p2 * (4 + 7p2)) = 0
((4 * 4 + 7p2 * 4) + 7p2 * (4 + 7p2)) = 0
((16 + 28p2) + 7p2 * (4 + 7p2)) = 0
(16 + 28p2 + (4 * 7p2 + 7p2 * 7p2)) = 0
(16 + 28p2 + (28p2 + 49p4)) = 0

Combine like terms: 28p2 + 28p2 = 56p2
(16 + 56p2 + 49p4) = 0

Solving
16 + 56p2 + 49p4 = 0

Solving for variable 'p'.

Factor a trinomial.
(4 + 7p2)(4 + 7p2) = 0

Subproblem 1

Set the factor '(4 + 7p2)' equal to zero and attempt to solve: Simplifying 4 + 7p2 = 0 Solving 4 + 7p2 = 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 + 7p2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7p2 = 0 + -4 7p2 = 0 + -4 Combine like terms: 0 + -4 = -4 7p2 = -4 Divide each side by '7'. p2 = -0.5714285714 Simplifying p2 = -0.5714285714 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 '(4 + 7p2)' equal to zero and attempt to solve: Simplifying 4 + 7p2 = 0 Solving 4 + 7p2 = 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 + 7p2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7p2 = 0 + -4 7p2 = 0 + -4 Combine like terms: 0 + -4 = -4 7p2 = -4 Divide each side by '7'. p2 = -0.5714285714 Simplifying p2 = -0.5714285714 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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