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Simplifying 2A2 + -13A = 7 Reorder the terms: -13A + 2A2 = 7 Solving -13A + 2A2 = 7 Solving for variable 'A'. Reorder the terms: -7 + -13A + 2A2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + -13A + 2A2 = 0 Factor a trinomial. (-1 + -2A)(7 + -1A) = 0Subproblem 1
Set the factor '(-1 + -2A)' equal to zero and attempt to solve: Simplifying -1 + -2A = 0 Solving -1 + -2A = 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 + -2A = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2A = 0 + 1 -2A = 0 + 1 Combine like terms: 0 + 1 = 1 -2A = 1 Divide each side by '-2'. A = -0.5 Simplifying A = -0.5Subproblem 2
Set the factor '(7 + -1A)' equal to zero and attempt to solve: Simplifying 7 + -1A = 0 Solving 7 + -1A = 0 Move all terms containing A to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1A = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1A = 0 + -7 -1A = 0 + -7 Combine like terms: 0 + -7 = -7 -1A = -7 Divide each side by '-1'. A = 7 Simplifying A = 7Solution
A = {-0.5, 7}
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