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Simplifying a2 + -6ax + -16x2 = 0 Reorder the terms: -6ax + a2 + -16x2 = 0 Solving -6ax + a2 + -16x2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -8x)(a + 2x) = 0Subproblem 1
Set the factor '(a + -8x)' equal to zero and attempt to solve: Simplifying a + -8x = 0 Solving a + -8x = 0 Move all terms containing a to the left, all other terms to the right. Add '8x' to each side of the equation. a + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 a + 0 = 0 + 8x a = 0 + 8x Remove the zero: a = 8x Simplifying a = 8xSubproblem 2
Set the factor '(a + 2x)' equal to zero and attempt to solve: Simplifying a + 2x = 0 Solving a + 2x = 0 Move all terms containing a to the left, all other terms to the right. Add '-2x' to each side of the equation. a + 2x + -2x = 0 + -2x Combine like terms: 2x + -2x = 0 a + 0 = 0 + -2x a = 0 + -2x Remove the zero: a = -2x Simplifying a = -2xSolution
a = {8x, -2x}
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