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