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Simplifying 3ab + 2ac = 5a2 * bc Multiply a2 * bc 3ab + 2ac = 5a2bc Solving 3ab + 2ac = 5a2bc Solving for variable 'a'. Combine like terms: 5a2bc + -5a2bc = 0 3ab + 2ac + -5a2bc = 0 Factor out the Greatest Common Factor (GCF), 'a'. a(3b + 2c + -5abc) = 0Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(3b + 2c + -5abc)' equal to zero and attempt to solve: Simplifying 3b + 2c + -5abc = 0 Reorder the terms: -5abc + 3b + 2c = 0 Solving -5abc + 3b + 2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3b' to each side of the equation. -5abc + 3b + -3b + 2c = 0 + -3b Combine like terms: 3b + -3b = 0 -5abc + 0 + 2c = 0 + -3b -5abc + 2c = 0 + -3b Remove the zero: -5abc + 2c = -3b Add '-2c' to each side of the equation. -5abc + 2c + -2c = -3b + -2c Combine like terms: 2c + -2c = 0 -5abc + 0 = -3b + -2c -5abc = -3b + -2c Divide each side by '-5bc'. a = 0.6c-1 + 0.4b-1 Simplifying a = 0.6c-1 + 0.4b-1 Reorder the terms: a = 0.4b-1 + 0.6c-1Solution
a = {0, 0.4b-1 + 0.6c-1}
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