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Simplifying 10c + -15c3 = 0 Solving 10c + -15c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(2 + -3c2) = 0 Ignore the factor 5.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 '(2 + -3c2)' equal to zero and attempt to solve: Simplifying 2 + -3c2 = 0 Solving 2 + -3c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3c2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3c2 = 0 + -2 -3c2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3c2 = -2 Divide each side by '-3'. c2 = 0.6666666667 Simplifying c2 = 0.6666666667 Take the square root of each side: c = {-0.816496581, 0.816496581}Solution
c = {0, -0.816496581, 0.816496581}
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