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Simplifying (2a + -1) * x2 + -1ax = 0 Reorder the terms: (-1 + 2a) * x2 + -1ax = 0 Reorder the terms for easier multiplication: x2(-1 + 2a) + -1ax = 0 (-1 * x2 + 2a * x2) + -1ax = 0 Reorder the terms: (2ax2 + -1x2) + -1ax = 0 (2ax2 + -1x2) + -1ax = 0 Reorder the terms: -1ax + 2ax2 + -1x2 = 0 Solving -1ax + 2ax2 + -1x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'x2' to each side of the equation. -1ax + 2ax2 + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 -1ax + 2ax2 + 0 = 0 + x2 -1ax + 2ax2 = 0 + x2 Remove the zero: -1ax + 2ax2 = x2 Combine like terms: x2 + -1x2 = 0 -1ax + 2ax2 + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1a + 2ax + -1x) = 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 '(-1a + 2ax + -1x)' equal to zero and attempt to solve: Simplifying -1a + 2ax + -1x = 0 Solving -1a + 2ax + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -1a + 2ax + -1x + x = 0 + x Combine like terms: -1x + x = 0 -1a + 2ax + 0 = 0 + x -1a + 2ax = 0 + x Remove the zero: -1a + 2ax = x 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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