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Simplifying 8a3(3 + -7a2) = 0 (3 * 8a3 + -7a2 * 8a3) = 0 (24a3 + -56a5) = 0 Solving 24a3 + -56a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '8a3'. 8a3(3 + -7a2) = 0 Ignore the factor 8.Subproblem 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 '(3 + -7a2)' equal to zero and attempt to solve: Simplifying 3 + -7a2 = 0 Solving 3 + -7a2 = 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 + -7a2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7a2 = 0 + -3 -7a2 = 0 + -3 Combine like terms: 0 + -3 = -3 -7a2 = -3 Divide each side by '-7'. a2 = 0.4285714286 Simplifying a2 = 0.4285714286 Take the square root of each side: a = {-0.654653671, 0.654653671}Solution
a = {-0.654653671, 0.654653671}
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