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Simplifying 36A3 + -1A = 0 Reorder the terms: -1A + 36A3 = 0 Solving -1A + 36A3 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), 'A'. A(-1 + 36A2) = 0 Factor a difference between two squares. A((1 + 6A)(-1 + 6A)) = 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 '(1 + 6A)' equal to zero and attempt to solve: Simplifying 1 + 6A = 0 Solving 1 + 6A = 0 Move all terms containing A to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6A = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6A = 0 + -1 6A = 0 + -1 Combine like terms: 0 + -1 = -1 6A = -1 Divide each side by '6'. A = -0.1666666667 Simplifying A = -0.1666666667Subproblem 3
Set the factor '(-1 + 6A)' equal to zero and attempt to solve: Simplifying -1 + 6A = 0 Solving -1 + 6A = 0 Move all terms containing A to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 6A = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 6A = 0 + 1 6A = 0 + 1 Combine like terms: 0 + 1 = 1 6A = 1 Divide each side by '6'. A = 0.1666666667 Simplifying A = 0.1666666667Solution
A = {0, -0.1666666667, 0.1666666667}
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