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Simplifying x2 + 8ax + 32 = 0 Reorder the terms: 32 + 8ax + x2 = 0 Solving 32 + 8ax + x2 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 8ax + -32 + x2 = 0 + -32 Reorder the terms: 32 + -32 + 8ax + x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 8ax + x2 = 0 + -32 8ax + x2 = 0 + -32 Combine like terms: 0 + -32 = -32 8ax + x2 = -32 Add '-1x2' to each side of the equation. 8ax + x2 + -1x2 = -32 + -1x2 Combine like terms: x2 + -1x2 = 0 8ax + 0 = -32 + -1x2 8ax = -32 + -1x2 Divide each side by '8x'. a = -4x-1 + -0.125x Simplifying a = -4x-1 + -0.125x
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