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Simplifying ax3 + bx2 + cx + 5 = 0 Reorder the terms: 5 + ax3 + bx2 + cx = 0 Solving 5 + ax3 + bx2 + cx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + ax3 + bx2 + -5 + cx = 0 + -5 Reorder the terms: 5 + -5 + ax3 + bx2 + cx = 0 + -5 Combine like terms: 5 + -5 = 0 0 + ax3 + bx2 + cx = 0 + -5 ax3 + bx2 + cx = 0 + -5 Combine like terms: 0 + -5 = -5 ax3 + bx2 + cx = -5 Add '-1bx2' to each side of the equation. ax3 + bx2 + -1bx2 + cx = -5 + -1bx2 Combine like terms: bx2 + -1bx2 = 0 ax3 + 0 + cx = -5 + -1bx2 ax3 + cx = -5 + -1bx2 Add '-1cx' to each side of the equation. ax3 + cx + -1cx = -5 + -1bx2 + -1cx Combine like terms: cx + -1cx = 0 ax3 + 0 = -5 + -1bx2 + -1cx ax3 = -5 + -1bx2 + -1cx Divide each side by 'x3'. a = -5x-3 + -1bx-1 + -1cx-2 Simplifying a = -5x-3 + -1bx-1 + -1cx-2 Reorder the terms: a = -1bx-1 + -1cx-2 + -5x-3
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