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Simplifying 7A3 + 16A2 + -15A = 0 Reorder the terms: -15A + 16A2 + 7A3 = 0 Solving -15A + 16A2 + 7A3 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), 'A'. A(-15 + 16A + 7A2) = 0 Factor a trinomial. A((-3 + -1A)(5 + -7A)) = 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 + -1A)' equal to zero and attempt to solve: Simplifying -3 + -1A = 0 Solving -3 + -1A = 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 + -1A = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1A = 0 + 3 -1A = 0 + 3 Combine like terms: 0 + 3 = 3 -1A = 3 Divide each side by '-1'. A = -3 Simplifying A = -3Subproblem 3
Set the factor '(5 + -7A)' equal to zero and attempt to solve: Simplifying 5 + -7A = 0 Solving 5 + -7A = 0 Move all terms containing A to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -7A = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7A = 0 + -5 -7A = 0 + -5 Combine like terms: 0 + -5 = -5 -7A = -5 Divide each side by '-7'. A = 0.7142857143 Simplifying A = 0.7142857143Solution
A = {0, -3, 0.7142857143}
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