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Simplifying x2 + 8ax = 9a2 Reorder the terms: 8ax + x2 = 9a2 Solving 8ax + x2 = 9a2 Solving for variable 'a'. Reorder the terms: 8ax + -9a2 + x2 = 9a2 + -9a2 Combine like terms: 9a2 + -9a2 = 0 8ax + -9a2 + x2 = 0 Factor a trinomial. (-9a + -1x)(a + -1x) = 0Subproblem 1
Set the factor '(-9a + -1x)' equal to zero and attempt to solve: Simplifying -9a + -1x = 0 Solving -9a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. -9a + -1x + x = 0 + x Combine like terms: -1x + x = 0 -9a + 0 = 0 + x -9a = 0 + x Remove the zero: -9a = x Divide each side by '-9'. a = -0.1111111111x Simplifying a = -0.1111111111xSubproblem 2
Set the factor '(a + -1x)' equal to zero and attempt to solve: Simplifying a + -1x = 0 Solving a + -1x = 0 Move all terms containing a to the left, all other terms to the right. Add 'x' to each side of the equation. a + -1x + x = 0 + x Combine like terms: -1x + x = 0 a + 0 = 0 + x a = 0 + x Remove the zero: a = x Simplifying a = xSolution
a = {-0.1111111111x, x}
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