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Simplifying 4x3 + 3ax2 + 2bx + c = 0 Reorder the terms: 3ax2 + 2bx + c + 4x3 = 0 Solving 3ax2 + 2bx + c + 4x3 = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2bx' to each side of the equation. 3ax2 + 2bx + c + -2bx + 4x3 = 0 + -2bx Reorder the terms: 3ax2 + 2bx + -2bx + c + 4x3 = 0 + -2bx Combine like terms: 2bx + -2bx = 0 3ax2 + 0 + c + 4x3 = 0 + -2bx 3ax2 + c + 4x3 = 0 + -2bx Remove the zero: 3ax2 + c + 4x3 = -2bx Add '-1c' to each side of the equation. 3ax2 + c + -1c + 4x3 = -2bx + -1c Combine like terms: c + -1c = 0 3ax2 + 0 + 4x3 = -2bx + -1c 3ax2 + 4x3 = -2bx + -1c Add '-4x3' to each side of the equation. 3ax2 + 4x3 + -4x3 = -2bx + -1c + -4x3 Combine like terms: 4x3 + -4x3 = 0 3ax2 + 0 = -2bx + -1c + -4x3 3ax2 = -2bx + -1c + -4x3 Divide each side by '3x2'. a = -0.6666666667bx-1 + -0.3333333333cx-2 + -1.333333333x Simplifying a = -0.6666666667bx-1 + -0.3333333333cx-2 + -1.333333333x
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