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