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Simplifying 5(3c10d7)(c + d) = 0 Remove parenthesis around (3c10d7) 5 * 3c10d7(c + d) = 0 Multiply 5 * 3 15c10d7(c + d) = 0 (c * 15c10d7 + d * 15c10d7) = 0 Reorder the terms: (15c10d8 + 15c11d7) = 0 (15c10d8 + 15c11d7) = 0 Solving 15c10d8 + 15c11d7 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '15c10d7'. 15c10d7(d + c) = 0 Ignore the factor 15.Subproblem 1
Set the factor 'c10d7' equal to zero and attempt to solve: Simplifying c10d7 = 0 Solving c10d7 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c10d7 = 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 '(d + c)' equal to zero and attempt to solve: Simplifying d + c = 0 Reorder the terms: c + d = 0 Solving c + d = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. c + d + -1d = 0 + -1d Combine like terms: d + -1d = 0 c + 0 = 0 + -1d c = 0 + -1d Remove the zero: c = -1d Simplifying c = -1dSolution
c = {-1d}
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