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Simplifying 2ab2 + -10a3 + 6a = 0 Reorder the terms: 6a + 2ab2 + -10a3 = 0 Solving 6a + 2ab2 + -10a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(3 + b2 + -5a2) = 0 Ignore the factor 2.Subproblem 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 '(3 + b2 + -5a2)' equal to zero and attempt to solve: Simplifying 3 + b2 + -5a2 = 0 Reorder the terms: 3 + -5a2 + b2 = 0 Solving 3 + -5a2 + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -5a2 + -3 + b2 = 0 + -3 Reorder the terms: 3 + -3 + -5a2 + b2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5a2 + b2 = 0 + -3 -5a2 + b2 = 0 + -3 Combine like terms: 0 + -3 = -3 -5a2 + b2 = -3 Add '-1b2' to each side of the equation. -5a2 + b2 + -1b2 = -3 + -1b2 Combine like terms: b2 + -1b2 = 0 -5a2 + 0 = -3 + -1b2 -5a2 = -3 + -1b2 Divide each side by '-5'. a2 = 0.6 + 0.2b2 Simplifying a2 = 0.6 + 0.2b2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
a = {0}
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