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Simplifying -2a + -3a(b + -4a) = 0 Reorder the terms: -2a + -3a(-4a + b) = 0 -2a + (-4a * -3a + b * -3a) = 0 Reorder the terms: -2a + (-3ab + 12a2) = 0 -2a + (-3ab + 12a2) = 0 Solving -2a + -3ab + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-2 + -3b + 12a) = 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 '(-2 + -3b + 12a)' equal to zero and attempt to solve: Simplifying -2 + -3b + 12a = 0 Reorder the terms: -2 + 12a + -3b = 0 Solving -2 + 12a + -3b = 0 Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 12a + 2 + -3b = 0 + 2 Reorder the terms: -2 + 2 + 12a + -3b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12a + -3b = 0 + 2 12a + -3b = 0 + 2 Combine like terms: 0 + 2 = 2 12a + -3b = 2 Add '3b' to each side of the equation. 12a + -3b + 3b = 2 + 3b Combine like terms: -3b + 3b = 0 12a + 0 = 2 + 3b 12a = 2 + 3b Divide each side by '12'. a = 0.1666666667 + 0.25b Simplifying a = 0.1666666667 + 0.25bSolution
a = {0, 0.1666666667 + 0.25b}
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