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Simplifying 6a2 + 6b2a + -5ab = 0 Reorder the terms: -5ab + 6ab2 + 6a2 = 0 Solving -5ab + 6ab2 + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-5b + 6b2 + 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 '(-5b + 6b2 + 6a)' equal to zero and attempt to solve: Simplifying -5b + 6b2 + 6a = 0 Reorder the terms: 6a + -5b + 6b2 = 0 Solving 6a + -5b + 6b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 6a + -5b + 5b + 6b2 = 0 + 5b Combine like terms: -5b + 5b = 0 6a + 0 + 6b2 = 0 + 5b 6a + 6b2 = 0 + 5b Remove the zero: 6a + 6b2 = 5b Add '-6b2' to each side of the equation. 6a + 6b2 + -6b2 = 5b + -6b2 Combine like terms: 6b2 + -6b2 = 0 6a + 0 = 5b + -6b2 6a = 5b + -6b2 Divide each side by '6'. a = 0.8333333333b + -1b2 Simplifying a = 0.8333333333b + -1b2Solution
a = {0, 0.8333333333b + -1b2}
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