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Simplifying (9c3d2 + -5c4)(-8cd5) = 0 Remove parenthesis around (-8cd5) (9c3d2 + -5c4) * -8cd5 = 0 Reorder the terms for easier multiplication: -8cd5(9c3d2 + -5c4) = 0 (9c3d2 * -8cd5 + -5c4 * -8cd5) = 0 (-72c4d7 + 40c5d5) = 0 Solving -72c4d7 + 40c5d5 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '8c4d5'. 8c4d5(-9d2 + 5c) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'c4d5' equal to zero and attempt to solve: Simplifying c4d5 = 0 Solving c4d5 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c4d5 = 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 '(-9d2 + 5c)' equal to zero and attempt to solve: Simplifying -9d2 + 5c = 0 Reorder the terms: 5c + -9d2 = 0 Solving 5c + -9d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '9d2' to each side of the equation. 5c + -9d2 + 9d2 = 0 + 9d2 Combine like terms: -9d2 + 9d2 = 0 5c + 0 = 0 + 9d2 5c = 0 + 9d2 Remove the zero: 5c = 9d2 Divide each side by '5'. c = 1.8d2 Simplifying c = 1.8d2Solution
c = {1.8d2}
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