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Simplifying ax2 + 8x + 32 = 0 Reorder the terms: 32 + ax2 + 8x = 0 Solving 32 + ax2 + 8x = 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 + ax2 + -32 + 8x = 0 + -32 Reorder the terms: 32 + -32 + ax2 + 8x = 0 + -32 Combine like terms: 32 + -32 = 0 0 + ax2 + 8x = 0 + -32 ax2 + 8x = 0 + -32 Combine like terms: 0 + -32 = -32 ax2 + 8x = -32 Add '-8x' to each side of the equation. ax2 + 8x + -8x = -32 + -8x Combine like terms: 8x + -8x = 0 ax2 + 0 = -32 + -8x ax2 = -32 + -8x Divide each side by 'x2'. a = -32x-2 + -8x-1 Simplifying a = -32x-2 + -8x-1
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