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Simplifying 8a5(5) + -12a2(2) + 28a3(3) = 0 Reorder the terms for easier multiplication: 8 * 5a5 + -12a2(2) + 28a3(3) = 0 Multiply 8 * 5 40a5 + -12a2(2) + 28a3(3) = 0 Reorder the terms for easier multiplication: 40a5 + -12 * 2a2 + 28a3(3) = 0 Multiply -12 * 2 40a5 + -24a2 + 28a3(3) = 0 Reorder the terms for easier multiplication: 40a5 + -24a2 + 28 * 3a3 = 0 Multiply 28 * 3 40a5 + -24a2 + 84a3 = 0 Reorder the terms: -24a2 + 84a3 + 40a5 = 0 Solving -24a2 + 84a3 + 40a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4a2'. 4a2(-6 + 21a + 10a3) = 0 Ignore the factor 4.Subproblem 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 '(-6 + 21a + 10a3)' equal to zero and attempt to solve: Simplifying -6 + 21a + 10a3 = 0 Solving -6 + 21a + 10a3 = 0 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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