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Simplifying 8a8 + -15a8 + 13a7 + 2a8 + -2a7 = 0 Reorder the terms: 13a7 + -2a7 + 8a8 + -15a8 + 2a8 = 0 Combine like terms: 13a7 + -2a7 = 11a7 11a7 + 8a8 + -15a8 + 2a8 = 0 Combine like terms: 8a8 + -15a8 = -7a8 11a7 + -7a8 + 2a8 = 0 Combine like terms: -7a8 + 2a8 = -5a8 11a7 + -5a8 = 0 Solving 11a7 + -5a8 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a7'. a7(11 + -5a) = 0Subproblem 1
Set the factor 'a7' equal to zero and attempt to solve: Simplifying a7 = 0 Solving a7 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a7 = 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 '(11 + -5a)' equal to zero and attempt to solve: Simplifying 11 + -5a = 0 Solving 11 + -5a = 0 Move all terms containing a to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -5a = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -5a = 0 + -11 -5a = 0 + -11 Combine like terms: 0 + -11 = -11 -5a = -11 Divide each side by '-5'. a = 2.2 Simplifying a = 2.2Solution
a = {2.2}
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