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Simplifying 64y2 + -48ya + 9a2 = 0 Reorder the terms: -48ay + 9a2 + 64y2 = 0 Solving -48ay + 9a2 + 64y2 = 0 Solving for variable 'a'. Factor a trinomial. (3a + -8y)(3a + -8y) = 0Subproblem 1
Set the factor '(3a + -8y)' equal to zero and attempt to solve: Simplifying 3a + -8y = 0 Solving 3a + -8y = 0 Move all terms containing a to the left, all other terms to the right. Add '8y' to each side of the equation. 3a + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 3a + 0 = 0 + 8y 3a = 0 + 8y Remove the zero: 3a = 8y Divide each side by '3'. a = 2.666666667y Simplifying a = 2.666666667ySubproblem 2
Set the factor '(3a + -8y)' equal to zero and attempt to solve: Simplifying 3a + -8y = 0 Solving 3a + -8y = 0 Move all terms containing a to the left, all other terms to the right. Add '8y' to each side of the equation. 3a + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 3a + 0 = 0 + 8y 3a = 0 + 8y Remove the zero: 3a = 8y Divide each side by '3'. a = 2.666666667y Simplifying a = 2.666666667ySolution
a = {2.666666667y, 2.666666667y}
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