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Simplifying 48bx + -24bz + -12cx + 6cz = 0 Solving 48bx + -24bz + -12cx + 6cz = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12cx' to each side of the equation. 48bx + -24bz + -12cx + 12cx + 6cz = 0 + 12cx Combine like terms: -12cx + 12cx = 0 48bx + -24bz + 0 + 6cz = 0 + 12cx 48bx + -24bz + 6cz = 0 + 12cx Remove the zero: 48bx + -24bz + 6cz = 12cx Add '-6cz' to each side of the equation. 48bx + -24bz + 6cz + -6cz = 12cx + -6cz Combine like terms: 6cz + -6cz = 0 48bx + -24bz + 0 = 12cx + -6cz 48bx + -24bz = 12cx + -6cz Reorder the terms: 48bx + -24bz + -12cx + 6cz = 12cx + -12cx + -6cz + 6cz Combine like terms: 12cx + -12cx = 0 48bx + -24bz + -12cx + 6cz = 0 + -6cz + 6cz 48bx + -24bz + -12cx + 6cz = -6cz + 6cz Combine like terms: -6cz + 6cz = 0 48bx + -24bz + -12cx + 6cz = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(8bx + -4bz + -2cx + cz) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(8bx + -4bz + -2cx + cz)' equal to zero and attempt to solve: Simplifying 8bx + -4bz + -2cx + cz = 0 Solving 8bx + -4bz + -2cx + cz = 0 Move all terms containing b to the left, all other terms to the right. Add '2cx' to each side of the equation. 8bx + -4bz + -2cx + 2cx + cz = 0 + 2cx Combine like terms: -2cx + 2cx = 0 8bx + -4bz + 0 + cz = 0 + 2cx 8bx + -4bz + cz = 0 + 2cx Remove the zero: 8bx + -4bz + cz = 2cx Add '-1cz' to each side of the equation. 8bx + -4bz + cz + -1cz = 2cx + -1cz Combine like terms: cz + -1cz = 0 8bx + -4bz + 0 = 2cx + -1cz 8bx + -4bz = 2cx + -1cz 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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