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Simplifying 56y2 + ay + -1a2 = 0 Reorder the terms: ay + -1a2 + 56y2 = 0 Solving ay + -1a2 + 56y2 = 0 Solving for variable 'a'. Factor a trinomial. (-1a + -7y)(a + -8y) = 0Subproblem 1
Set the factor '(-1a + -7y)' equal to zero and attempt to solve: Simplifying -1a + -7y = 0 Solving -1a + -7y = 0 Move all terms containing a to the left, all other terms to the right. Add '7y' to each side of the equation. -1a + -7y + 7y = 0 + 7y Combine like terms: -7y + 7y = 0 -1a + 0 = 0 + 7y -1a = 0 + 7y Remove the zero: -1a = 7y Divide each side by '-1'. a = -7y Simplifying a = -7ySubproblem 2
Set the factor '(a + -8y)' equal to zero and attempt to solve: Simplifying a + -8y = 0 Solving a + -8y = 0 Move all terms containing a to the left, all other terms to the right. Add '8y' to each side of the equation. a + -8y + 8y = 0 + 8y Combine like terms: -8y + 8y = 0 a + 0 = 0 + 8y a = 0 + 8y Remove the zero: a = 8y Simplifying a = 8ySolution
a = {-7y, 8y}
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