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Simplifying 7ct4 + -7cj2 = 0 Reorder the terms: -7cj2 + 7ct4 = 0 Solving -7cj2 + 7ct4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '7c'. 7c(-1j2 + t4) = 0 Factor a difference between two squares. 7c((j + t2)(-1j + t2)) = 0 Ignore the factor 7.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 '(j + t2)' equal to zero and attempt to solve: Simplifying j + t2 = 0 Solving j + t2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1j' to each side of the equation. j + -1j + t2 = 0 + -1j Combine like terms: j + -1j = 0 0 + t2 = 0 + -1j t2 = 0 + -1j Remove the zero: t2 = -1j Add '-1t2' to each side of the equation. t2 + -1t2 = -1j + -1t2 Combine like terms: t2 + -1t2 = 0 0 = -1j + -1t2 Simplifying 0 = -1j + -1t2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1j + t2)' equal to zero and attempt to solve: Simplifying -1j + t2 = 0 Solving -1j + t2 = 0 Move all terms containing c to the left, all other terms to the right. Add 'j' to each side of the equation. -1j + j + t2 = 0 + j Combine like terms: -1j + j = 0 0 + t2 = 0 + j t2 = 0 + j Remove the zero: t2 = j Add '-1t2' to each side of the equation. t2 + -1t2 = j + -1t2 Combine like terms: t2 + -1t2 = 0 0 = j + -1t2 Simplifying 0 = j + -1t2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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