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Simplifying 6a2 + 5ab + -4ab2 = 0 Reorder the terms: 5ab + -4ab2 + 6a2 = 0 Solving 5ab + -4ab2 + 6a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(5b + -4b2 + 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 + -4b2 + 6a)' equal to zero and attempt to solve: Simplifying 5b + -4b2 + 6a = 0 Reorder the terms: 6a + 5b + -4b2 = 0 Solving 6a + 5b + -4b2 = 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 + -4b2 = 0 + -5b Combine like terms: 5b + -5b = 0 6a + 0 + -4b2 = 0 + -5b 6a + -4b2 = 0 + -5b Remove the zero: 6a + -4b2 = -5b Add '4b2' to each side of the equation. 6a + -4b2 + 4b2 = -5b + 4b2 Combine like terms: -4b2 + 4b2 = 0 6a + 0 = -5b + 4b2 6a = -5b + 4b2 Divide each side by '6'. a = -0.8333333333b + 0.6666666667b2 Simplifying a = -0.8333333333b + 0.6666666667b2Solution
a = {0, -0.8333333333b + 0.6666666667b2}
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