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Simplifying x3 + -3ax2 + 3bx + -1c = 0 Reorder the terms: -3ax2 + 3bx + -1c + x3 = 0 Solving -3ax2 + 3bx + -1c + x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3bx' to each side of the equation. -3ax2 + 3bx + -1c + -3bx + x3 = 0 + -3bx Reorder the terms: -3ax2 + 3bx + -3bx + -1c + x3 = 0 + -3bx Combine like terms: 3bx + -3bx = 0 -3ax2 + 0 + -1c + x3 = 0 + -3bx -3ax2 + -1c + x3 = 0 + -3bx Remove the zero: -3ax2 + -1c + x3 = -3bx Add 'c' to each side of the equation. -3ax2 + -1c + c + x3 = -3bx + c Combine like terms: -1c + c = 0 -3ax2 + 0 + x3 = -3bx + c -3ax2 + x3 = -3bx + c Add '-1x3' to each side of the equation. -3ax2 + x3 + -1x3 = -3bx + c + -1x3 Combine like terms: x3 + -1x3 = 0 -3ax2 + 0 = -3bx + c + -1x3 -3ax2 = -3bx + c + -1x3 Divide each side by '-3x2'. a = bx-1 + -0.3333333333cx-2 + 0.3333333333x Simplifying a = bx-1 + -0.3333333333cx-2 + 0.3333333333x
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