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