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Simplifying a * x2 + b * x = c * x3 + d * x2 + e * x + f Multiply a * x2 ax2 + b * x = c * x3 + d * x2 + e * x + f Multiply b * x ax2 + bx = c * x3 + d * x2 + e * x + f Multiply c * x3 ax2 + bx = cx3 + d * x2 + e * x + f Multiply d * x2 ax2 + bx = cx3 + dx2 + e * x + f Multiply e * x ax2 + bx = cx3 + dx2 + ex + f Solving ax2 + bx = cx3 + dx2 + ex + f 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. ax2 + bx + -1bx = cx3 + dx2 + ex + -1bx + f Combine like terms: bx + -1bx = 0 ax2 + 0 = cx3 + dx2 + ex + -1bx + f ax2 = cx3 + dx2 + ex + -1bx + f Reorder the terms: ax2 = -1bx + cx3 + dx2 + ex + f Divide each side by 'x2'. a = -1bx-1 + cx + d + ex-1 + fx-2 Simplifying a = -1bx-1 + cx + d + ex-1 + fx-2
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