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Simplifying 3a(2a + 11b) + -13a = 0 (2a * 3a + 11b * 3a) + -13a = 0 Reorder the terms: (33ab + 6a2) + -13a = 0 (33ab + 6a2) + -13a = 0 Reorder the terms: -13a + 33ab + 6a2 = 0 Solving -13a + 33ab + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-13 + 33b + 6a) = 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 '(-13 + 33b + 6a)' equal to zero and attempt to solve: Simplifying -13 + 33b + 6a = 0 Reorder the terms: -13 + 6a + 33b = 0 Solving -13 + 6a + 33b = 0 Move all terms containing a to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 6a + 13 + 33b = 0 + 13 Reorder the terms: -13 + 13 + 6a + 33b = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6a + 33b = 0 + 13 6a + 33b = 0 + 13 Combine like terms: 0 + 13 = 13 6a + 33b = 13 Add '-33b' to each side of the equation. 6a + 33b + -33b = 13 + -33b Combine like terms: 33b + -33b = 0 6a + 0 = 13 + -33b 6a = 13 + -33b Divide each side by '6'. a = 2.166666667 + -5.5b Simplifying a = 2.166666667 + -5.5bSolution
a = {0, 2.166666667 + -5.5b}
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