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Simplifying 10c(p + 3) + -8p = 0 Reorder the terms: 10c(3 + p) + -8p = 0 (3 * 10c + p * 10c) + -8p = 0 (30c + 10cp) + -8p = 0 Solving 30c + 10cp + -8p = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8p' to each side of the equation. 30c + 10cp + -8p + 8p = 0 + 8p Combine like terms: -8p + 8p = 0 30c + 10cp + 0 = 0 + 8p 30c + 10cp = 0 + 8p Remove the zero: 30c + 10cp = 8p Combine like terms: 8p + -8p = 0 30c + 10cp + -8p = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15c + 5cp + -4p) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15c + 5cp + -4p)' equal to zero and attempt to solve: Simplifying 15c + 5cp + -4p = 0 Solving 15c + 5cp + -4p = 0 Move all terms containing c to the left, all other terms to the right. Add '4p' to each side of the equation. 15c + 5cp + -4p + 4p = 0 + 4p Combine like terms: -4p + 4p = 0 15c + 5cp + 0 = 0 + 4p 15c + 5cp = 0 + 4p Remove the zero: 15c + 5cp = 4p 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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