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Simplifying -24a3b3c3 + -84a4b2c = 0 Solving -24a3b3c3 + -84a4b2c = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-12a3b2c'. -12a3b2c(2bc2 + 7a) = 0 Ignore the factor -12.Subproblem 1
Set the factor 'a3b2c' equal to zero and attempt to solve: Simplifying a3b2c = 0 Solving a3b2c = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3b2c = 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 '(2bc2 + 7a)' equal to zero and attempt to solve: Simplifying 2bc2 + 7a = 0 Reorder the terms: 7a + 2bc2 = 0 Solving 7a + 2bc2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-2bc2' to each side of the equation. 7a + 2bc2 + -2bc2 = 0 + -2bc2 Combine like terms: 2bc2 + -2bc2 = 0 7a + 0 = 0 + -2bc2 7a = 0 + -2bc2 Remove the zero: 7a = -2bc2 Divide each side by '7'. a = -0.2857142857bc2 Simplifying a = -0.2857142857bc2Solution
a = {-0.2857142857bc2}
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