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Simplifying -7c(-7c + 5) + -3c = 0 Reorder the terms: -7c(5 + -7c) + -3c = 0 (5 * -7c + -7c * -7c) + -3c = 0 (-35c + 49c2) + -3c = 0 Reorder the terms: -35c + -3c + 49c2 = 0 Combine like terms: -35c + -3c = -38c -38c + 49c2 = 0 Solving -38c + 49c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-38 + 49c) = 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 '(-38 + 49c)' equal to zero and attempt to solve: Simplifying -38 + 49c = 0 Solving -38 + 49c = 0 Move all terms containing c to the left, all other terms to the right. Add '38' to each side of the equation. -38 + 38 + 49c = 0 + 38 Combine like terms: -38 + 38 = 0 0 + 49c = 0 + 38 49c = 0 + 38 Combine like terms: 0 + 38 = 38 49c = 38 Divide each side by '49'. c = 0.7755102041 Simplifying c = 0.7755102041Solution
c = {0, 0.7755102041}
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