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Simplifying 14A2 + -21A = 0 Reorder the terms: -21A + 14A2 = 0 Solving -21A + 14A2 = 0 Solving for variable 'A'. Factor out the Greatest Common Factor (GCF), '7A'. 7A(-3 + 2A) = 0 Ignore the factor 7.Subproblem 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 + 2A)' equal to zero and attempt to solve: Simplifying -3 + 2A = 0 Solving -3 + 2A = 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 + 2A = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2A = 0 + 3 2A = 0 + 3 Combine like terms: 0 + 3 = 3 2A = 3 Divide each side by '2'. A = 1.5 Simplifying A = 1.5Solution
A = {0, 1.5}
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