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Simplifying 20a2c + 30ac = 0 Reorder the terms: 30ac + 20a2c = 0 Solving 30ac + 20a2c = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '10ac'. 10ac(3 + 2a) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'ac' equal to zero and attempt to solve: Simplifying ac = 0 Solving ac = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ac = 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 + 2a)' equal to zero and attempt to solve: Simplifying 3 + 2a = 0 Solving 3 + 2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2a = 0 + -3 2a = 0 + -3 Combine like terms: 0 + -3 = -3 2a = -3 Divide each side by '2'. a = -1.5 Simplifying a = -1.5Solution
a = {-1.5}
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