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Simplifying -2a(b + 3 + -2a) = 0 Reorder the terms: -2a(3 + -2a + b) = 0 (3 * -2a + -2a * -2a + b * -2a) = 0 Reorder the terms: (-6a + -2ab + 4a2) = 0 (-6a + -2ab + 4a2) = 0 Solving -6a + -2ab + 4a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(-3 + -1b + 2a) = 0 Ignore the factor 2.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 + -1b + 2a)' equal to zero and attempt to solve: Simplifying -3 + -1b + 2a = 0 Reorder the terms: -3 + 2a + -1b = 0 Solving -3 + 2a + -1b = 0 Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2a + 3 + -1b = 0 + 3 Reorder the terms: -3 + 3 + 2a + -1b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a + -1b = 0 + 3 2a + -1b = 0 + 3 Combine like terms: 0 + 3 = 3 2a + -1b = 3 Add 'b' to each side of the equation. 2a + -1b + b = 3 + b Combine like terms: -1b + b = 0 2a + 0 = 3 + b 2a = 3 + b Divide each side by '2'. a = 1.5 + 0.5b Simplifying a = 1.5 + 0.5bSolution
a = {0, 1.5 + 0.5b}
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