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Simplifying 4c2 + -52c3 + 186c2 = 0 Reorder the terms: 4c2 + 186c2 + -52c3 = 0 Combine like terms: 4c2 + 186c2 = 190c2 190c2 + -52c3 = 0 Solving 190c2 + -52c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c2'. 2c2(95 + -26c) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(95 + -26c)' equal to zero and attempt to solve: Simplifying 95 + -26c = 0 Solving 95 + -26c = 0 Move all terms containing c to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -26c = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -26c = 0 + -95 -26c = 0 + -95 Combine like terms: 0 + -95 = -95 -26c = -95 Divide each side by '-26'. c = 3.653846154 Simplifying c = 3.653846154Solution
c = {0, 3.653846154}
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