b^4+12b^2p^2+36p^4=

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Solution for b^4+12b^2p^2+36p^4= equation:


Simplifying
b4 + 12b2p2 + 36p4 = 0

Reorder the terms:
12b2p2 + b4 + 36p4 = 0

Solving
12b2p2 + b4 + 36p4 = 0

Solving for variable 'b'.

Factor a trinomial.
(b2 + 6p2)(b2 + 6p2) = 0

Subproblem 1

Set the factor '(b2 + 6p2)' equal to zero and attempt to solve: Simplifying b2 + 6p2 = 0 Solving b2 + 6p2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-6p2' to each side of the equation. b2 + 6p2 + -6p2 = 0 + -6p2 Combine like terms: 6p2 + -6p2 = 0 b2 + 0 = 0 + -6p2 b2 = 0 + -6p2 Remove the zero: b2 = -6p2 Simplifying b2 = -6p2 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 '(b2 + 6p2)' equal to zero and attempt to solve: Simplifying b2 + 6p2 = 0 Solving b2 + 6p2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-6p2' to each side of the equation. b2 + 6p2 + -6p2 = 0 + -6p2 Combine like terms: 6p2 + -6p2 = 0 b2 + 0 = 0 + -6p2 b2 = 0 + -6p2 Remove the zero: b2 = -6p2 Simplifying b2 = -6p2 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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