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Simplifying (3c2 + -8c4) * 10c5 = 0 Reorder the terms for easier multiplication: 10c5(3c2 + -8c4) = 0 (3c2 * 10c5 + -8c4 * 10c5) = 0 (30c7 + -80c9) = 0 Solving 30c7 + -80c9 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '10c7'. 10c7(3 + -8c2) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'c7' equal to zero and attempt to solve: Simplifying c7 = 0 Solving c7 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c7 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -8c2)' equal to zero and attempt to solve: Simplifying 3 + -8c2 = 0 Solving 3 + -8c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8c2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8c2 = 0 + -3 -8c2 = 0 + -3 Combine like terms: 0 + -3 = -3 -8c2 = -3 Divide each side by '-8'. c2 = 0.375 Simplifying c2 = 0.375 Take the square root of each side: c = {-0.612372436, 0.612372436}Solution
c = {-0.612372436, 0.612372436}
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