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