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Simplifying 10c3(4c6 + 2c) = 0 Reorder the terms: 10c3(2c + 4c6) = 0 (2c * 10c3 + 4c6 * 10c3) = 0 (20c4 + 40c9) = 0 Solving 20c4 + 40c9 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '20c4'. 20c4(1 + 2c5) = 0 Ignore the factor 20.Subproblem 1
Set the factor 'c4' equal to zero and attempt to solve: Simplifying c4 = 0 Solving c4 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c4 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + 2c5)' equal to zero and attempt to solve: Simplifying 1 + 2c5 = 0 Solving 1 + 2c5 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2c5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2c5 = 0 + -1 2c5 = 0 + -1 Combine like terms: 0 + -1 = -1 2c5 = -1 Divide each side by '2'. c5 = -0.5 Simplifying c5 = -0.5 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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