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Simplifying 49c3 + -16c = 0 Reorder the terms: -16c + 49c3 = 0 Solving -16c + 49c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-16 + 49c2) = 0 Factor a difference between two squares. c((4 + 7c)(-4 + 7c)) = 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 '(4 + 7c)' equal to zero and attempt to solve: Simplifying 4 + 7c = 0 Solving 4 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7c = 0 + -4 7c = 0 + -4 Combine like terms: 0 + -4 = -4 7c = -4 Divide each side by '7'. c = -0.5714285714 Simplifying c = -0.5714285714Subproblem 3
Set the factor '(-4 + 7c)' equal to zero and attempt to solve: Simplifying -4 + 7c = 0 Solving -4 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 7c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 7c = 0 + 4 7c = 0 + 4 Combine like terms: 0 + 4 = 4 7c = 4 Divide each side by '7'. c = 0.5714285714 Simplifying c = 0.5714285714Solution
c = {0, -0.5714285714, 0.5714285714}
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