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Simplifying 3ak2 + -300a = 0 Reorder the terms: -300a + 3ak2 = 0 Solving -300a + 3ak2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-100 + k2) = 0 Factor a difference between two squares. 3a((10 + k)(-10 + k)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a' equal to zero and attempt to solve: Simplifying a = 0 Solving a = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a = 0Subproblem 2
Set the factor '(10 + k)' equal to zero and attempt to solve: Simplifying 10 + k = 0 Solving 10 + k = 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 + k = 0 + -10 Combine like terms: 10 + -10 = 0 0 + k = 0 + -10 k = 0 + -10 Combine like terms: 0 + -10 = -10 k = -10 Add '-1k' to each side of the equation. k + -1k = -10 + -1k Combine like terms: k + -1k = 0 0 = -10 + -1k Simplifying 0 = -10 + -1k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-10 + k)' equal to zero and attempt to solve: Simplifying -10 + k = 0 Solving -10 + k = 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 + k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + k = 0 + 10 k = 0 + 10 Combine like terms: 0 + 10 = 10 k = 10 Add '-1k' to each side of the equation. k + -1k = 10 + -1k Combine like terms: k + -1k = 0 0 = 10 + -1k Simplifying 0 = 10 + -1k 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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