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Simplifying 3a2 + ab2 + -5ab = 0 Reorder the terms: -5ab + ab2 + 3a2 = 0 Solving -5ab + ab2 + 3a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-5b + b2 + 3a) = 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 + b2 + 3a)' equal to zero and attempt to solve: Simplifying -5b + b2 + 3a = 0 Reorder the terms: 3a + -5b + b2 = 0 Solving 3a + -5b + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '5b' to each side of the equation. 3a + -5b + 5b + b2 = 0 + 5b Combine like terms: -5b + 5b = 0 3a + 0 + b2 = 0 + 5b 3a + b2 = 0 + 5b Remove the zero: 3a + b2 = 5b Add '-1b2' to each side of the equation. 3a + b2 + -1b2 = 5b + -1b2 Combine like terms: b2 + -1b2 = 0 3a + 0 = 5b + -1b2 3a = 5b + -1b2 Divide each side by '3'. a = 1.666666667b + -0.3333333333b2 Simplifying a = 1.666666667b + -0.3333333333b2Solution
a = {0, 1.666666667b + -0.3333333333b2}
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