(4a^2x+2ax^2+a^2x^2)=0

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Solution for (4a^2x+2ax^2+a^2x^2)=0 equation:


Simplifying
(4a2x + 2ax2 + a2x2) = 0

Reorder the terms:
(2ax2 + 4a2x + a2x2) = 0

Remove parenthesis around (2ax2 + 4a2x + a2x2)
2ax2 + 4a2x + a2x2 = 0

Solving
2ax2 + 4a2x + a2x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ax'.
ax(2x + 4a + ax) = 0

Subproblem 1

Set the factor 'ax' equal to zero and attempt to solve: Simplifying ax = 0 Solving ax = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax = 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 '(2x + 4a + ax)' equal to zero and attempt to solve: Simplifying 2x + 4a + ax = 0 Reorder the terms: 4a + ax + 2x = 0 Solving 4a + ax + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. 4a + ax + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 4a + ax + 0 = 0 + -2x 4a + ax = 0 + -2x Remove the zero: 4a + ax = -2x 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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