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Simplifying 8bx + -9bx = abc Combine like terms: 8bx + -9bx = -1bx -1bx = abc Solving -1bx = abc Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1abc' to each side of the equation. -1abc + -1bx = abc + -1abc Combine like terms: abc + -1abc = 0 -1abc + -1bx = 0 Factor out the Greatest Common Factor (GCF), '-1b'. -1b(ac + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(ac + x)' equal to zero and attempt to solve: Simplifying ac + x = 0 Solving ac + x = 0 Move all terms containing b to the left, all other terms to the right. Add '-1ac' to each side of the equation. ac + -1ac + x = 0 + -1ac Combine like terms: ac + -1ac = 0 0 + x = 0 + -1ac x = 0 + -1ac Remove the zero: x = -1ac Add '-1x' to each side of the equation. x + -1x = -1ac + -1x Combine like terms: x + -1x = 0 0 = -1ac + -1x Simplifying 0 = -1ac + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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