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Simplifying 2c2 = 7c Solving 2c2 = 7c Solving for variable 'c'. Reorder the terms: -7c + 2c2 = 7c + -7c Combine like terms: 7c + -7c = 0 -7c + 2c2 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-7 + 2c) = 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 '(-7 + 2c)' equal to zero and attempt to solve: Simplifying -7 + 2c = 0 Solving -7 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 2c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 2c = 0 + 7 2c = 0 + 7 Combine like terms: 0 + 7 = 7 2c = 7 Divide each side by '2'. c = 3.5 Simplifying c = 3.5Solution
c = {0, 3.5}
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