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Simplifying 6c * 8c + -6c + 2c * 8c + -2c = 0 Reorder the terms for easier multiplication: 6 * 8c * c + -6c + 2c * 8c + -2c = 0 Multiply 6 * 8 48c * c + -6c + 2c * 8c + -2c = 0 Multiply c * c 48c2 + -6c + 2c * 8c + -2c = 0 Reorder the terms for easier multiplication: 48c2 + -6c + 2 * 8c * c + -2c = 0 Multiply 2 * 8 48c2 + -6c + 16c * c + -2c = 0 Multiply c * c 48c2 + -6c + 16c2 + -2c = 0 Reorder the terms: -6c + -2c + 48c2 + 16c2 = 0 Combine like terms: -6c + -2c = -8c -8c + 48c2 + 16c2 = 0 Combine like terms: 48c2 + 16c2 = 64c2 -8c + 64c2 = 0 Solving -8c + 64c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '8c'. 8c(-1 + 8c) = 0 Ignore the factor 8.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 '(-1 + 8c)' equal to zero and attempt to solve: Simplifying -1 + 8c = 0 Solving -1 + 8c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8c = 0 + 1 8c = 0 + 1 Combine like terms: 0 + 1 = 1 8c = 1 Divide each side by '8'. c = 0.125 Simplifying c = 0.125Solution
c = {0, 0.125}
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