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Simplifying 9c2 + -99c + 50c + -30 = 12c + -30 Reorder the terms: -30 + -99c + 50c + 9c2 = 12c + -30 Combine like terms: -99c + 50c = -49c -30 + -49c + 9c2 = 12c + -30 Reorder the terms: -30 + -49c + 9c2 = -30 + 12c Add '30' to each side of the equation. -30 + -49c + 30 + 9c2 = -30 + 30 + 12c Reorder the terms: -30 + 30 + -49c + 9c2 = -30 + 30 + 12c Combine like terms: -30 + 30 = 0 0 + -49c + 9c2 = -30 + 30 + 12c -49c + 9c2 = -30 + 30 + 12c Combine like terms: -30 + 30 = 0 -49c + 9c2 = 0 + 12c -49c + 9c2 = 12c Solving -49c + 9c2 = 12c Solving for variable 'c'. Reorder the terms: -49c + -12c + 9c2 = 12c + -12c Combine like terms: -49c + -12c = -61c -61c + 9c2 = 12c + -12c Combine like terms: 12c + -12c = 0 -61c + 9c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-61 + 9c) = 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 '(-61 + 9c)' equal to zero and attempt to solve: Simplifying -61 + 9c = 0 Solving -61 + 9c = 0 Move all terms containing c to the left, all other terms to the right. Add '61' to each side of the equation. -61 + 61 + 9c = 0 + 61 Combine like terms: -61 + 61 = 0 0 + 9c = 0 + 61 9c = 0 + 61 Combine like terms: 0 + 61 = 61 9c = 61 Divide each side by '9'. c = 6.777777778 Simplifying c = 6.777777778Solution
c = {0, 6.777777778}
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