a(196+28x+x^2)*a^2y^2=

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Solution for a(196+28x+x^2)*a^2y^2= equation:


Simplifying
a(196 + 28x + x2) * a2y2 = 0

Reorder the terms for easier multiplication:
a * a2y2(196 + 28x + x2) = 0

Multiply a * a2y2
a3y2(196 + 28x + x2) = 0
(196 * a3y2 + 28x * a3y2 + x2 * a3y2) = 0

Reorder the terms:
(28a3xy2 + a3x2y2 + 196a3y2) = 0
(28a3xy2 + a3x2y2 + 196a3y2) = 0

Solving
28a3xy2 + a3x2y2 + 196a3y2 = 0

Solving for variable 'a'.

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

Factor out the Greatest Common Factor (GCF), 'a3y2'.
a3y2(28x + x2 + 196) = 0

Factor a trinomial.
a3y2((x + 14)(x + 14)) = 0

Subproblem 1

Set the factor 'a3y2' equal to zero and attempt to solve: Simplifying a3y2 = 0 Solving a3y2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3y2 = 0 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 '(x + 14)' equal to zero and attempt to solve: Simplifying x + 14 = 0 Reorder the terms: 14 + x = 0 Solving 14 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Add '-1x' to each side of the equation. x + -1x = -14 + -1x Combine like terms: x + -1x = 0 0 = -14 + -1x Simplifying 0 = -14 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 3

Set the factor '(x + 14)' equal to zero and attempt to solve: Simplifying x + 14 = 0 Reorder the terms: 14 + x = 0 Solving 14 + x = 0 Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + x = 0 + -14 x = 0 + -14 Combine like terms: 0 + -14 = -14 x = -14 Add '-1x' to each side of the equation. x + -1x = -14 + -1x Combine like terms: x + -1x = 0 0 = -14 + -1x Simplifying 0 = -14 + -1x 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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