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Simplifying 6a(9a + -10b) = 0 (9a * 6a + -10b * 6a) = 0 Reorder the terms: (-60ab + 54a2) = 0 (-60ab + 54a2) = 0 Solving -60ab + 54a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '6a'. 6a(-10b + 9a) = 0 Ignore the factor 6.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 '(-10b + 9a)' equal to zero and attempt to solve: Simplifying -10b + 9a = 0 Reorder the terms: 9a + -10b = 0 Solving 9a + -10b = 0 Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. 9a + -10b + 10b = 0 + 10b Combine like terms: -10b + 10b = 0 9a + 0 = 0 + 10b 9a = 0 + 10b Remove the zero: 9a = 10b Divide each side by '9'. a = 1.111111111b Simplifying a = 1.111111111bSolution
a = {0, 1.111111111b}
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