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Simplifying 4rs + 12ps + 2mr + 6mp = 0 Reorder the terms: 6mp + 2mr + 12ps + 4rs = 0 Solving 6mp + 2mr + 12ps + 4rs = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12ps' to each side of the equation. 6mp + 2mr + 12ps + -12ps + 4rs = 0 + -12ps Combine like terms: 12ps + -12ps = 0 6mp + 2mr + 0 + 4rs = 0 + -12ps 6mp + 2mr + 4rs = 0 + -12ps Remove the zero: 6mp + 2mr + 4rs = -12ps Add '-4rs' to each side of the equation. 6mp + 2mr + 4rs + -4rs = -12ps + -4rs Combine like terms: 4rs + -4rs = 0 6mp + 2mr + 0 = -12ps + -4rs 6mp + 2mr = -12ps + -4rs Reorder the terms: 6mp + 2mr + 12ps + 4rs = -12ps + 12ps + -4rs + 4rs Combine like terms: -12ps + 12ps = 0 6mp + 2mr + 12ps + 4rs = 0 + -4rs + 4rs 6mp + 2mr + 12ps + 4rs = -4rs + 4rs Combine like terms: -4rs + 4rs = 0 6mp + 2mr + 12ps + 4rs = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3mp + mr + 6ps + 2rs) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3mp + mr + 6ps + 2rs)' equal to zero and attempt to solve: Simplifying 3mp + mr + 6ps + 2rs = 0 Solving 3mp + mr + 6ps + 2rs = 0 Move all terms containing m to the left, all other terms to the right. Add '-6ps' to each side of the equation. 3mp + mr + 6ps + -6ps + 2rs = 0 + -6ps Combine like terms: 6ps + -6ps = 0 3mp + mr + 0 + 2rs = 0 + -6ps 3mp + mr + 2rs = 0 + -6ps Remove the zero: 3mp + mr + 2rs = -6ps Add '-2rs' to each side of the equation. 3mp + mr + 2rs + -2rs = -6ps + -2rs Combine like terms: 2rs + -2rs = 0 3mp + mr + 0 = -6ps + -2rs 3mp + mr = -6ps + -2rs 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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