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Simplifying g(a2) = 5(a2) + -8(a2) Multiply g * a2 a2g = 5(a2) + -8(a2) Combine like terms: 5a2 + -8a2 = -3a2 a2g = -3a2 Solving a2g = -3a2 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a2' to each side of the equation. 3a2 + a2g = -3a2 + 3a2 Combine like terms: -3a2 + 3a2 = 0 3a2 + a2g = 0 Factor out the Greatest Common Factor (GCF), 'a2'. a2(3 + g) = 0Subproblem 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 '(3 + g)' equal to zero and attempt to solve: Simplifying 3 + g = 0 Solving 3 + g = 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 + g = 0 + -3 Combine like terms: 3 + -3 = 0 0 + g = 0 + -3 g = 0 + -3 Combine like terms: 0 + -3 = -3 g = -3 Add '-1g' to each side of the equation. g + -1g = -3 + -1g Combine like terms: g + -1g = 0 0 = -3 + -1g Simplifying 0 = -3 + -1g 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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