x^2+3ax(2a-1)=0

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Solution for x^2+3ax(2a-1)=0 equation:


Simplifying
x2 + 3ax(2a + -1) = 0

Reorder the terms:
x2 + 3ax(-1 + 2a) = 0
x2 + (-1 * 3ax + 2a * 3ax) = 0
x2 + (-3ax + 6a2x) = 0

Reorder the terms:
-3ax + 6a2x + x2 = 0

Solving
-3ax + 6a2x + x2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3a + 6a2 + x) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing a to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(-3a + 6a2 + x)' equal to zero and attempt to solve: Simplifying -3a + 6a2 + x = 0 Solving -3a + 6a2 + x = 0 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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