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Simplifying a2 + -5ay + 4y2 = 0 Reorder the terms: -5ay + a2 + 4y2 = 0 Solving -5ay + a2 + 4y2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -4y)(a + -1y) = 0Subproblem 1
Set the factor '(a + -4y)' equal to zero and attempt to solve: Simplifying a + -4y = 0 Solving a + -4y = 0 Move all terms containing a to the left, all other terms to the right. Add '4y' to each side of the equation. a + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 a + 0 = 0 + 4y a = 0 + 4y Remove the zero: a = 4y Simplifying a = 4ySubproblem 2
Set the factor '(a + -1y)' equal to zero and attempt to solve: Simplifying a + -1y = 0 Solving a + -1y = 0 Move all terms containing a to the left, all other terms to the right. Add 'y' to each side of the equation. a + -1y + y = 0 + y Combine like terms: -1y + y = 0 a + 0 = 0 + y a = 0 + y Remove the zero: a = y Simplifying a = ySolution
a = {4y, y}
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