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Simplifying a2x + 3x = 2a2solvingx Solving a2x + 3x = 2a2gilnosvx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a2gilnosvx' to each side of the equation. a2x + -2a2gilnosvx + 3x = 2a2gilnosvx + -2a2gilnosvx Reorder the terms: -2a2gilnosvx + a2x + 3x = 2a2gilnosvx + -2a2gilnosvx Combine like terms: 2a2gilnosvx + -2a2gilnosvx = 0 -2a2gilnosvx + a2x + 3x = 0 Add '-3x' to each side of the equation. -2a2gilnosvx + a2x + 3x + -3x = 0 + -3x Combine like terms: 3x + -3x = 0 -2a2gilnosvx + a2x + 0 = 0 + -3x -2a2gilnosvx + a2x = 0 + -3x Remove the zero: -2a2gilnosvx + a2x = -3x Combine like terms: -3x + 3x = 0 -2a2gilnosvx + a2x + 3x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-2a2gilnosv + a2 + 3) = 0Subproblem 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 '(-2a2gilnosv + a2 + 3)' equal to zero and attempt to solve: Simplifying -2a2gilnosv + a2 + 3 = 0 Reorder the terms: 3 + a2 + -2a2gilnosv = 0 Solving 3 + a2 + -2a2gilnosv = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + a2 + -3 + -2a2gilnosv = 0 + -3 Reorder the terms: 3 + -3 + a2 + -2a2gilnosv = 0 + -3 Combine like terms: 3 + -3 = 0 0 + a2 + -2a2gilnosv = 0 + -3 a2 + -2a2gilnosv = 0 + -3 Combine like terms: 0 + -3 = -3 a2 + -2a2gilnosv = -3 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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