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Simplifying 17a5 + -7a3 + -19a5 + 18a3 = 0 Reorder the terms: -7a3 + 18a3 + 17a5 + -19a5 = 0 Combine like terms: -7a3 + 18a3 = 11a3 11a3 + 17a5 + -19a5 = 0 Combine like terms: 17a5 + -19a5 = -2a5 11a3 + -2a5 = 0 Solving 11a3 + -2a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a3'. a3(11 + -2a2) = 0Subproblem 1
Set the factor 'a3' equal to zero and attempt to solve: Simplifying a3 = 0 Solving a3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a3 = 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 + -2a2)' equal to zero and attempt to solve: Simplifying 11 + -2a2 = 0 Solving 11 + -2a2 = 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 + -2a2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2a2 = 0 + -11 -2a2 = 0 + -11 Combine like terms: 0 + -11 = -11 -2a2 = -11 Divide each side by '-2'. a2 = 5.5 Simplifying a2 = 5.5 Take the square root of each side: a = {-2.34520788, 2.34520788}Solution
a = {-2.34520788, 2.34520788}
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