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Simplifying a2 + -12ax + 32x2 = 0 Reorder the terms: -12ax + a2 + 32x2 = 0 Solving -12ax + a2 + 32x2 = 0 Solving for variable 'a'. Factor a trinomial. (a + -8x)(a + -4x) = 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 + -4x)' equal to zero and attempt to solve: Simplifying a + -4x = 0 Solving a + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. a + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 a + 0 = 0 + 4x a = 0 + 4x Remove the zero: a = 4x Simplifying a = 4xSolution
a = {8x, 4x}
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