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Simplifying a(2a + -3) = 0 Reorder the terms: a(-3 + 2a) = 0 (-3 * a + 2a * a) = 0 (-3a + 2a2) = 0 Solving -3a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-3 + 2a) = 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 + 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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