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Simplifying 36a2 = 84ab + 49a2 Solving 36a2 = 84ab + 49a2 Solving for variable 'a'. Reorder the terms: -84ab + 36a2 + -49a2 = 84ab + 49a2 + -84ab + -49a2 Combine like terms: 36a2 + -49a2 = -13a2 -84ab + -13a2 = 84ab + 49a2 + -84ab + -49a2 Reorder the terms: -84ab + -13a2 = 84ab + -84ab + 49a2 + -49a2 Combine like terms: 84ab + -84ab = 0 -84ab + -13a2 = 0 + 49a2 + -49a2 -84ab + -13a2 = 49a2 + -49a2 Combine like terms: 49a2 + -49a2 = 0 -84ab + -13a2 = 0 Factor out the Greatest Common Factor (GCF), '-1a'. -1a(84b + 13a) = 0 Ignore the factor -1.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 '(84b + 13a)' equal to zero and attempt to solve: Simplifying 84b + 13a = 0 Reorder the terms: 13a + 84b = 0 Solving 13a + 84b = 0 Move all terms containing a to the left, all other terms to the right. Add '-84b' to each side of the equation. 13a + 84b + -84b = 0 + -84b Combine like terms: 84b + -84b = 0 13a + 0 = 0 + -84b 13a = 0 + -84b Remove the zero: 13a = -84b Divide each side by '13'. a = -6.461538462b Simplifying a = -6.461538462bSolution
a = {0, -6.461538462b}
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