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Simplifying 3a5 + -300a3 = 0 Reorder the terms: -300a3 + 3a5 = 0 Solving -300a3 + 3a5 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a3'. 3a3(-100 + a2) = 0 Factor a difference between two squares. 3a3((10 + a)(-10 + a)) = 0 Ignore the factor 3.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 '(10 + a)' equal to zero and attempt to solve: Simplifying 10 + a = 0 Solving 10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + a = 0 + -10 Combine like terms: 10 + -10 = 0 0 + a = 0 + -10 a = 0 + -10 Combine like terms: 0 + -10 = -10 a = -10 Simplifying a = -10Subproblem 3
Set the factor '(-10 + a)' equal to zero and attempt to solve: Simplifying -10 + a = 0 Solving -10 + a = 0 Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + a = 0 + 10 Combine like terms: -10 + 10 = 0 0 + a = 0 + 10 a = 0 + 10 Combine like terms: 0 + 10 = 10 a = 10 Simplifying a = 10Solution
a = {-10, 10}
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