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Simplifying 4c(-7c + -3j) = 0 (-7c * 4c + -3j * 4c) = 0 Reorder the terms: (-12cj + -28c2) = 0 (-12cj + -28c2) = 0 Solving -12cj + -28c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-4c'. -4c(3j + 7c) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(3j + 7c)' equal to zero and attempt to solve: Simplifying 3j + 7c = 0 Reorder the terms: 7c + 3j = 0 Solving 7c + 3j = 0 Move all terms containing c to the left, all other terms to the right. Add '-3j' to each side of the equation. 7c + 3j + -3j = 0 + -3j Combine like terms: 3j + -3j = 0 7c + 0 = 0 + -3j 7c = 0 + -3j Remove the zero: 7c = -3j Divide each side by '7'. c = -0.4285714286j Simplifying c = -0.4285714286jSolution
c = {0, -0.4285714286j}
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