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Simplifying 9A2 + -3AX + -6X2 = 0 Reorder the terms: -3AX + 9A2 + -6X2 = 0 Solving -3AX + 9A2 + -6X2 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), '3'. 3(-1AX + 3A2 + -2X2) = 0 Factor a trinomial. 3((A + -1X)(3A + 2X)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(A + -1X)' equal to zero and attempt to solve: Simplifying A + -1X = 0 Solving A + -1X = 0 Move all terms containing A to the left, all other terms to the right. Add 'X' to each side of the equation. A + -1X + X = 0 + X Combine like terms: -1X + X = 0 A + 0 = 0 + X A = 0 + X Remove the zero: A = X Simplifying A = XSubproblem 2
Set the factor '(3A + 2X)' equal to zero and attempt to solve: Simplifying 3A + 2X = 0 Solving 3A + 2X = 0 Move all terms containing A to the left, all other terms to the right. Add '-2X' to each side of the equation. 3A + 2X + -2X = 0 + -2X Combine like terms: 2X + -2X = 0 3A + 0 = 0 + -2X 3A = 0 + -2X Remove the zero: 3A = -2X Divide each side by '3'. A = -0.6666666667X Simplifying A = -0.6666666667XSolution
A = {X, -0.6666666667X}
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