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