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Simplifying 2r + 8c = 10rc Reorder the terms: 8c + 2r = 10rc Solving 8c + 2r = 10cr Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10cr' to each side of the equation. 8c + -10cr + 2r = 10cr + -10cr Combine like terms: 10cr + -10cr = 0 8c + -10cr + 2r = 0 Add '-2r' to each side of the equation. 8c + -10cr + 2r + -2r = 0 + -2r Combine like terms: 2r + -2r = 0 8c + -10cr + 0 = 0 + -2r 8c + -10cr = 0 + -2r Remove the zero: 8c + -10cr = -2r Combine like terms: -2r + 2r = 0 8c + -10cr + 2r = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4c + -5cr + r) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4c + -5cr + r)' equal to zero and attempt to solve: Simplifying 4c + -5cr + r = 0 Solving 4c + -5cr + r = 0 Move all terms containing c to the left, all other terms to the right. Add '-1r' to each side of the equation. 4c + -5cr + r + -1r = 0 + -1r Combine like terms: r + -1r = 0 4c + -5cr + 0 = 0 + -1r 4c + -5cr = 0 + -1r Remove the zero: 4c + -5cr = -1r 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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