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Simplifying 45c + 10d = 55cd Solving 45c + 10d = 55cd Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-55cd' to each side of the equation. 45c + -55cd + 10d = 55cd + -55cd Combine like terms: 55cd + -55cd = 0 45c + -55cd + 10d = 0 Add '-10d' to each side of the equation. 45c + -55cd + 10d + -10d = 0 + -10d Combine like terms: 10d + -10d = 0 45c + -55cd + 0 = 0 + -10d 45c + -55cd = 0 + -10d Remove the zero: 45c + -55cd = -10d Combine like terms: -10d + 10d = 0 45c + -55cd + 10d = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(9c + -11cd + 2d) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(9c + -11cd + 2d)' equal to zero and attempt to solve: Simplifying 9c + -11cd + 2d = 0 Solving 9c + -11cd + 2d = 0 Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. 9c + -11cd + 2d + -2d = 0 + -2d Combine like terms: 2d + -2d = 0 9c + -11cd + 0 = 0 + -2d 9c + -11cd = 0 + -2d Remove the zero: 9c + -11cd = -2d 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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