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Simplifying 5a2 + ab2 + -6ab = 0 Reorder the terms: -6ab + ab2 + 5a2 = 0 Solving -6ab + ab2 + 5a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), 'a'. a(-6b + b2 + 5a) = 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 '(-6b + b2 + 5a)' equal to zero and attempt to solve: Simplifying -6b + b2 + 5a = 0 Reorder the terms: 5a + -6b + b2 = 0 Solving 5a + -6b + b2 = 0 Move all terms containing a to the left, all other terms to the right. Add '6b' to each side of the equation. 5a + -6b + 6b + b2 = 0 + 6b Combine like terms: -6b + 6b = 0 5a + 0 + b2 = 0 + 6b 5a + b2 = 0 + 6b Remove the zero: 5a + b2 = 6b Add '-1b2' to each side of the equation. 5a + b2 + -1b2 = 6b + -1b2 Combine like terms: b2 + -1b2 = 0 5a + 0 = 6b + -1b2 5a = 6b + -1b2 Divide each side by '5'. a = 1.2b + -0.2b2 Simplifying a = 1.2b + -0.2b2Solution
a = {0, 1.2b + -0.2b2}
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