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Simplifying 5a2(3a4 + 3b + 2) = 0 Reorder the terms: 5a2(2 + 3a4 + 3b) = 0 (2 * 5a2 + 3a4 * 5a2 + 3b * 5a2) = 0 Reorder the terms: (10a2 + 15a2b + 15a6) = 0 (10a2 + 15a2b + 15a6) = 0 Solving 10a2 + 15a2b + 15a6 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '5a2'. 5a2(2 + 3b + 3a4) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(2 + 3b + 3a4)' equal to zero and attempt to solve: Simplifying 2 + 3b + 3a4 = 0 Reorder the terms: 2 + 3a4 + 3b = 0 Solving 2 + 3a4 + 3b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3a4 + -2 + 3b = 0 + -2 Reorder the terms: 2 + -2 + 3a4 + 3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3a4 + 3b = 0 + -2 3a4 + 3b = 0 + -2 Combine like terms: 0 + -2 = -2 3a4 + 3b = -2 Add '-3b' to each side of the equation. 3a4 + 3b + -3b = -2 + -3b Combine like terms: 3b + -3b = 0 3a4 + 0 = -2 + -3b 3a4 = -2 + -3b Divide each side by '3'. a4 = -0.6666666667 + -1b Simplifying a4 = -0.6666666667 + -1b 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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