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Simplifying 42a3b + 3a2B + -108a2 = 0 Reorder the terms: -108a2 + 3a2B + 42a3b = 0 Solving -108a2 + 3a2B + 42a3b = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3a2'. 3a2(-36 + B + 14ab) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve: Simplifying a2 = 0 Solving a2 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying a2 = 0 Take the square root of each side: a = {0}Subproblem 2
Set the factor '(-36 + B + 14ab)' equal to zero and attempt to solve: Simplifying -36 + B + 14ab = 0 Solving -36 + B + 14ab = 0 Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + B + 36 + 14ab = 0 + 36 Reorder the terms: -36 + 36 + B + 14ab = 0 + 36 Combine like terms: -36 + 36 = 0 0 + B + 14ab = 0 + 36 B + 14ab = 0 + 36 Combine like terms: 0 + 36 = 36 B + 14ab = 36 Add '-1B' to each side of the equation. B + -1B + 14ab = 36 + -1B Combine like terms: B + -1B = 0 0 + 14ab = 36 + -1B 14ab = 36 + -1B Divide each side by '14b'. a = 2.571428571b-1 + -0.07142857143b-1B Simplifying a = 2.571428571b-1 + -0.07142857143b-1BSolution
a = {0, 2.571428571b-1 + -0.07142857143b-1B}
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