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Simplifying 4x(12b + cxy) = 2xby (12b * 4x + cxy * 4x) = 2xby (48bx + 4cx2y) = 2xby Solving 48bx + 4cx2y = 2bxy Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2bxy' to each side of the equation. 48bx + -2bxy + 4cx2y = 2bxy + -2bxy Combine like terms: 2bxy + -2bxy = 0 48bx + -2bxy + 4cx2y = 0 Add '-4cx2y' to each side of the equation. 48bx + -2bxy + 4cx2y + -4cx2y = 0 + -4cx2y Combine like terms: 4cx2y + -4cx2y = 0 48bx + -2bxy + 0 = 0 + -4cx2y 48bx + -2bxy = 0 + -4cx2y Remove the zero: 48bx + -2bxy = -4cx2y Combine like terms: -4cx2y + 4cx2y = 0 48bx + -2bxy + 4cx2y = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(24b + -1by + 2cxy) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing b 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 '(24b + -1by + 2cxy)' equal to zero and attempt to solve: Simplifying 24b + -1by + 2cxy = 0 Solving 24b + -1by + 2cxy = 0 Move all terms containing b to the left, all other terms to the right. Add '-2cxy' to each side of the equation. 24b + -1by + 2cxy + -2cxy = 0 + -2cxy Combine like terms: 2cxy + -2cxy = 0 24b + -1by + 0 = 0 + -2cxy 24b + -1by = 0 + -2cxy Remove the zero: 24b + -1by = -2cxy 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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