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Simplifying x3 + ax2 + bx + 8 = 0 Reorder the terms: 8 + ax2 + bx + x3 = 0 Solving 8 + ax2 + bx + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + ax2 + bx + -8 + x3 = 0 + -8 Reorder the terms: 8 + -8 + ax2 + bx + x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + ax2 + bx + x3 = 0 + -8 ax2 + bx + x3 = 0 + -8 Combine like terms: 0 + -8 = -8 ax2 + bx + x3 = -8 Add '-1bx' to each side of the equation. ax2 + bx + -1bx + x3 = -8 + -1bx Combine like terms: bx + -1bx = 0 ax2 + 0 + x3 = -8 + -1bx ax2 + x3 = -8 + -1bx Add '-1x3' to each side of the equation. ax2 + x3 + -1x3 = -8 + -1bx + -1x3 Combine like terms: x3 + -1x3 = 0 ax2 + 0 = -8 + -1bx + -1x3 ax2 = -8 + -1bx + -1x3 Divide each side by 'x2'. a = -8x-2 + -1bx-1 + -1x Simplifying a = -8x-2 + -1bx-1 + -1x Reorder the terms: a = -1bx-1 + -8x-2 + -1x
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