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Simplifying 6(1tc) = c + -1c2 Remove parenthesis around (1ct) 6 * 1ct = c + -1c2 Multiply 6 * 1 6ct = c + -1c2 Solving 6ct = c + -1c2 Solving for variable 'c'. Reorder the terms: -1c + 6ct + c2 = c + -1c2 + -1c + c2 Reorder the terms: -1c + 6ct + c2 = c + -1c + -1c2 + c2 Combine like terms: c + -1c = 0 -1c + 6ct + c2 = 0 + -1c2 + c2 -1c + 6ct + c2 = -1c2 + c2 Combine like terms: -1c2 + c2 = 0 -1c + 6ct + c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-1 + 6t + c) = 0Subproblem 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 '(-1 + 6t + c)' equal to zero and attempt to solve: Simplifying -1 + 6t + c = 0 Reorder the terms: -1 + c + 6t = 0 Solving -1 + c + 6t = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + c + 1 + 6t = 0 + 1 Reorder the terms: -1 + 1 + c + 6t = 0 + 1 Combine like terms: -1 + 1 = 0 0 + c + 6t = 0 + 1 c + 6t = 0 + 1 Combine like terms: 0 + 1 = 1 c + 6t = 1 Add '-6t' to each side of the equation. c + 6t + -6t = 1 + -6t Combine like terms: 6t + -6t = 0 c + 0 = 1 + -6t c = 1 + -6t Simplifying c = 1 + -6tSolution
c = {0, 1 + -6t}
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