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Simplifying ax3 + 5x2 + 3bx + c = 0 Reorder the terms: ax3 + 3bx + c + 5x2 = 0 Solving ax3 + 3bx + c + 5x2 = 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. ax3 + 3bx + c + -3bx + 5x2 = 0 + -3bx Reorder the terms: ax3 + 3bx + -3bx + c + 5x2 = 0 + -3bx Combine like terms: 3bx + -3bx = 0 ax3 + 0 + c + 5x2 = 0 + -3bx ax3 + c + 5x2 = 0 + -3bx Remove the zero: ax3 + c + 5x2 = -3bx Add '-1c' to each side of the equation. ax3 + c + -1c + 5x2 = -3bx + -1c Combine like terms: c + -1c = 0 ax3 + 0 + 5x2 = -3bx + -1c ax3 + 5x2 = -3bx + -1c Add '-5x2' to each side of the equation. ax3 + 5x2 + -5x2 = -3bx + -1c + -5x2 Combine like terms: 5x2 + -5x2 = 0 ax3 + 0 = -3bx + -1c + -5x2 ax3 = -3bx + -1c + -5x2 Divide each side by 'x3'. a = -3bx-2 + -1cx-3 + -5x-1 Simplifying a = -3bx-2 + -1cx-3 + -5x-1
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