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Simplifying 57a8 + -19a10 = 0 Solving 57a8 + -19a10 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '19a8'. 19a8(3 + -1a2) = 0 Ignore the factor 19.Subproblem 1
Set the factor 'a8' equal to zero and attempt to solve: Simplifying a8 = 0 Solving a8 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a8 = 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 '(3 + -1a2)' equal to zero and attempt to solve: Simplifying 3 + -1a2 = 0 Solving 3 + -1a2 = 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 + -1a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1a2 = 0 + -3 -1a2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1a2 = -3 Divide each side by '-1'. a2 = 3 Simplifying a2 = 3 Take the square root of each side: a = {-1.732050808, 1.732050808}Solution
a = {-1.732050808, 1.732050808}
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