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Simplifying a2y2 + 3aby = -2b2 Reorder the terms: 3aby + a2y2 = -2b2 Solving 3aby + a2y2 = -2b2 Solving for variable 'a'. Combine like terms: -2b2 + 2b2 = 0 3aby + a2y2 + 2b2 = 0 Factor a trinomial. (ay + b)(ay + 2b) = 0Subproblem 1
Set the factor '(ay + b)' equal to zero and attempt to solve: Simplifying ay + b = 0 Solving ay + b = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. ay + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 ay + 0 = 0 + -1b ay = 0 + -1b Remove the zero: ay = -1b Divide each side by 'y'. a = -1by-1 Simplifying a = -1by-1Subproblem 2
Set the factor '(ay + 2b)' equal to zero and attempt to solve: Simplifying ay + 2b = 0 Solving ay + 2b = 0 Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. ay + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 ay + 0 = 0 + -2b ay = 0 + -2b Remove the zero: ay = -2b Divide each side by 'y'. a = -2by-1 Simplifying a = -2by-1Solution
a = {-1by-1, -2by-1}
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