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Simplifying 55A2 + 28A + -3 = 0 Reorder the terms: -3 + 28A + 55A2 = 0 Solving -3 + 28A + 55A2 = 0 Solving for variable 'A'. Factor a trinomial. (-3 + -5A)(1 + -11A) = 0Subproblem 1
Set the factor '(-3 + -5A)' equal to zero and attempt to solve: Simplifying -3 + -5A = 0 Solving -3 + -5A = 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 + -5A = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5A = 0 + 3 -5A = 0 + 3 Combine like terms: 0 + 3 = 3 -5A = 3 Divide each side by '-5'. A = -0.6 Simplifying A = -0.6Subproblem 2
Set the factor '(1 + -11A)' equal to zero and attempt to solve: Simplifying 1 + -11A = 0 Solving 1 + -11A = 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 + -11A = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -11A = 0 + -1 -11A = 0 + -1 Combine like terms: 0 + -1 = -1 -11A = -1 Divide each side by '-11'. A = 0.09090909091 Simplifying A = 0.09090909091Solution
A = {-0.6, 0.09090909091}
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