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