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Simplifying a2 + 5ab + -84ab2 = 0 Reorder the terms: 5ab + -84ab2 + a2 = 0 Solving 5ab + -84ab2 + a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(5b + -84b2 + a) = 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 '(5b + -84b2 + a)' equal to zero and attempt to solve: Simplifying 5b + -84b2 + a = 0 Reorder the terms: a + 5b + -84b2 = 0 Solving a + 5b + -84b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. a + 5b + -5b + -84b2 = 0 + -5b Combine like terms: 5b + -5b = 0 a + 0 + -84b2 = 0 + -5b a + -84b2 = 0 + -5b Remove the zero: a + -84b2 = -5b Add '84b2' to each side of the equation. a + -84b2 + 84b2 = -5b + 84b2 Combine like terms: -84b2 + 84b2 = 0 a + 0 = -5b + 84b2 a = -5b + 84b2 Simplifying a = -5b + 84b2Solution
a = {0, -5b + 84b2}
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