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Simplifying t4 + -1c4 = 0 Reorder the terms: -1c4 + t4 = 0 Solving -1c4 + t4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1t4' to each side of the equation. -1c4 + t4 + -1t4 = 0 + -1t4 Combine like terms: t4 + -1t4 = 0 -1c4 + 0 = 0 + -1t4 -1c4 = 0 + -1t4 Remove the zero: -1c4 = -1t4 Divide each side by '-1'. c4 = t4 Simplifying c4 = t4 Combine like terms: t4 + -1t4 = 0 c4 + -1t4 = 0 Factor a difference between two squares. (c2 + t2)(c2 + -1t2) = 0 Factor a difference between two squares. (c2 + t2)((c + t)(c + -1t)) = 0Subproblem 1
Set the factor '(c2 + t2)' equal to zero and attempt to solve: Simplifying c2 + t2 = 0 Solving c2 + t2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1t2' to each side of the equation. c2 + t2 + -1t2 = 0 + -1t2 Combine like terms: t2 + -1t2 = 0 c2 + 0 = 0 + -1t2 c2 = 0 + -1t2 Remove the zero: c2 = -1t2 Simplifying c2 = -1t2 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 '(c + t)' equal to zero and attempt to solve: Simplifying c + t = 0 Solving c + t = 0 Move all terms containing c to the left, all other terms to the right. Add '-1t' to each side of the equation. c + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 c + 0 = 0 + -1t c = 0 + -1t Remove the zero: c = -1t Simplifying c = -1tSubproblem 3
Set the factor '(c + -1t)' equal to zero and attempt to solve: Simplifying c + -1t = 0 Solving c + -1t = 0 Move all terms containing c to the left, all other terms to the right. Add 't' to each side of the equation. c + -1t + t = 0 + t Combine like terms: -1t + t = 0 c + 0 = 0 + t c = 0 + t Remove the zero: c = t Simplifying c = tSolution
c = {-1t, t}
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