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Simplifying Pc(c + -11) + 10(5c + -3) = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: cP(-11 + c) + 10(5c + -3) = 3c(c + 5) + c(6c + -3) + -30 (-11 * cP + c * cP) + 10(5c + -3) = 3c(c + 5) + c(6c + -3) + -30 (-11cP + c2P) + 10(5c + -3) = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: -11cP + c2P + 10(-3 + 5c) = 3c(c + 5) + c(6c + -3) + -30 -11cP + c2P + (-3 * 10 + 5c * 10) = 3c(c + 5) + c(6c + -3) + -30 -11cP + c2P + (-30 + 50c) = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: -30 + 50c + -11cP + c2P = 3c(c + 5) + c(6c + -3) + -30 Reorder the terms: -30 + 50c + -11cP + c2P = 3c(5 + c) + c(6c + -3) + -30 -30 + 50c + -11cP + c2P = (5 * 3c + c * 3c) + c(6c + -3) + -30 -30 + 50c + -11cP + c2P = (15c + 3c2) + c(6c + -3) + -30 Reorder the terms: -30 + 50c + -11cP + c2P = 15c + 3c2 + c(-3 + 6c) + -30 -30 + 50c + -11cP + c2P = 15c + 3c2 + (-3 * c + 6c * c) + -30 -30 + 50c + -11cP + c2P = 15c + 3c2 + (-3c + 6c2) + -30 Reorder the terms: -30 + 50c + -11cP + c2P = -30 + 15c + -3c + 3c2 + 6c2 Combine like terms: 15c + -3c = 12c -30 + 50c + -11cP + c2P = -30 + 12c + 3c2 + 6c2 Combine like terms: 3c2 + 6c2 = 9c2 -30 + 50c + -11cP + c2P = -30 + 12c + 9c2 Add '30' to each side of the equation. -30 + 50c + -11cP + 30 + c2P = -30 + 12c + 30 + 9c2 Reorder the terms: -30 + 30 + 50c + -11cP + c2P = -30 + 12c + 30 + 9c2 Combine like terms: -30 + 30 = 0 0 + 50c + -11cP + c2P = -30 + 12c + 30 + 9c2 50c + -11cP + c2P = -30 + 12c + 30 + 9c2 Reorder the terms: 50c + -11cP + c2P = -30 + 30 + 12c + 9c2 Combine like terms: -30 + 30 = 0 50c + -11cP + c2P = 0 + 12c + 9c2 50c + -11cP + c2P = 12c + 9c2 Solving 50c + -11cP + c2P = 12c + 9c2 Solving for variable 'c'. Reorder the terms: 50c + -12c + -11cP + -9c2 + c2P = 12c + 9c2 + -12c + -9c2 Combine like terms: 50c + -12c = 38c 38c + -11cP + -9c2 + c2P = 12c + 9c2 + -12c + -9c2 Reorder the terms: 38c + -11cP + -9c2 + c2P = 12c + -12c + 9c2 + -9c2 Combine like terms: 12c + -12c = 0 38c + -11cP + -9c2 + c2P = 0 + 9c2 + -9c2 38c + -11cP + -9c2 + c2P = 9c2 + -9c2 Combine like terms: 9c2 + -9c2 = 0 38c + -11cP + -9c2 + c2P = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(38 + -11P + -9c + cP) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(38 + -11P + -9c + cP)' equal to zero and attempt to solve: Simplifying 38 + -11P + -9c + cP = 0 Solving 38 + -11P + -9c + cP = 0 Move all terms containing c to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -11P + -9c + -38 + cP = 0 + -38 Reorder the terms: 38 + -38 + -11P + -9c + cP = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -11P + -9c + cP = 0 + -38 -11P + -9c + cP = 0 + -38 Combine like terms: 0 + -38 = -38 -11P + -9c + cP = -38 Add '11P' to each side of the equation. -11P + -9c + 11P + cP = -38 + 11P Reorder the terms: -11P + 11P + -9c + cP = -38 + 11P Combine like terms: -11P + 11P = 0 0 + -9c + cP = -38 + 11P -9c + cP = -38 + 11P The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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