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