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Simplifying 57a2 + -21ab + -42ac = 0 Reorder the terms: -21ab + -42ac + 57a2 = 0 Solving -21ab + -42ac + 57a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a'. 3a(-7b + -14c + 19a) = 0 Ignore the factor 3.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 '(-7b + -14c + 19a)' equal to zero and attempt to solve: Simplifying -7b + -14c + 19a = 0 Reorder the terms: 19a + -7b + -14c = 0 Solving 19a + -7b + -14c = 0 Move all terms containing a to the left, all other terms to the right. Add '7b' to each side of the equation. 19a + -7b + 7b + -14c = 0 + 7b Combine like terms: -7b + 7b = 0 19a + 0 + -14c = 0 + 7b 19a + -14c = 0 + 7b Remove the zero: 19a + -14c = 7b Add '14c' to each side of the equation. 19a + -14c + 14c = 7b + 14c Combine like terms: -14c + 14c = 0 19a + 0 = 7b + 14c 19a = 7b + 14c Divide each side by '19'. a = 0.3684210526b + 0.7368421053c Simplifying a = 0.3684210526b + 0.7368421053cSolution
a = {0, 0.3684210526b + 0.7368421053c}
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