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Simplifying 20y2 + -41ya + 20a2 = 0 Reorder the terms: -41ay + 20a2 + 20y2 = 0 Solving -41ay + 20a2 + 20y2 = 0 Solving for variable 'a'. Factor a trinomial. (4a + -5y)(5a + -4y) = 0Subproblem 1
Set the factor '(4a + -5y)' equal to zero and attempt to solve: Simplifying 4a + -5y = 0 Solving 4a + -5y = 0 Move all terms containing a to the left, all other terms to the right. Add '5y' to each side of the equation. 4a + -5y + 5y = 0 + 5y Combine like terms: -5y + 5y = 0 4a + 0 = 0 + 5y 4a = 0 + 5y Remove the zero: 4a = 5y Divide each side by '4'. a = 1.25y Simplifying a = 1.25ySubproblem 2
Set the factor '(5a + -4y)' equal to zero and attempt to solve: Simplifying 5a + -4y = 0 Solving 5a + -4y = 0 Move all terms containing a to the left, all other terms to the right. Add '4y' to each side of the equation. 5a + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5a + 0 = 0 + 4y 5a = 0 + 4y Remove the zero: 5a = 4y Divide each side by '5'. a = 0.8y Simplifying a = 0.8ySolution
a = {1.25y, 0.8y}
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