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Simplifying 100a3 + -9a = 0 Reorder the terms: -9a + 100a3 = 0 Solving -9a + 100a3 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-9 + 100a2) = 0 Factor a difference between two squares. a((3 + 10a)(-3 + 10a)) = 0Subproblem 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 '(3 + 10a)' equal to zero and attempt to solve: Simplifying 3 + 10a = 0 Solving 3 + 10a = 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 + 10a = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 10a = 0 + -3 10a = 0 + -3 Combine like terms: 0 + -3 = -3 10a = -3 Divide each side by '10'. a = -0.3 Simplifying a = -0.3Subproblem 3
Set the factor '(-3 + 10a)' equal to zero and attempt to solve: Simplifying -3 + 10a = 0 Solving -3 + 10a = 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 + 10a = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 10a = 0 + 3 10a = 0 + 3 Combine like terms: 0 + 3 = 3 10a = 3 Divide each side by '10'. a = 0.3 Simplifying a = 0.3Solution
a = {0, -0.3, 0.3}
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