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Simplifying 2a2 + 8ab + -4ac = 0 Reorder the terms: 8ab + -4ac + 2a2 = 0 Solving 8ab + -4ac + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2a'. 2a(4b + -2c + a) = 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 '(4b + -2c + a)' equal to zero and attempt to solve: Simplifying 4b + -2c + a = 0 Reorder the terms: a + 4b + -2c = 0 Solving a + 4b + -2c = 0 Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. a + 4b + -4b + -2c = 0 + -4b Combine like terms: 4b + -4b = 0 a + 0 + -2c = 0 + -4b a + -2c = 0 + -4b Remove the zero: a + -2c = -4b Add '2c' to each side of the equation. a + -2c + 2c = -4b + 2c Combine like terms: -2c + 2c = 0 a + 0 = -4b + 2c a = -4b + 2c Simplifying a = -4b + 2cSolution
a = {0, -4b + 2c}
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