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Simplifying x2 + -3ax + -88a2 = 0 Reorder the terms: -3ax + -88a2 + x2 = 0 Solving -3ax + -88a2 + x2 = 0 Solving for variable 'a'. Factor a trinomial. (-8a + -1x)(11a + -1x) = 0Subproblem 1
Set the factor '(-8a + -1x)' equal to zero and attempt to solve: Simplifying -8a + -1x = 0 Solving -8a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -8a + -1x + x = 0 + x Combine like terms: -1x + x = 0 -8a + 0 = 0 + x -8a = 0 + x Remove the zero: -8a = x Divide each side by '-8'. a = -0.125x Simplifying a = -0.125xSubproblem 2
Set the factor '(11a + -1x)' equal to zero and attempt to solve: Simplifying 11a + -1x = 0 Solving 11a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. 11a + -1x + x = 0 + x Combine like terms: -1x + x = 0 11a + 0 = 0 + x 11a = 0 + x Remove the zero: 11a = x Divide each side by '11'. a = 0.09090909091x Simplifying a = 0.09090909091xSolution
a = {-0.125x, 0.09090909091x}
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