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Simplifying ax3 + bx2 + 1 = (x2 + -1x + -1)(y) Reorder the terms: 1 + ax3 + bx2 = (x2 + -1x + -1)(y) Reorder the terms: 1 + ax3 + bx2 = (-1 + -1x + x2)(y) Reorder the terms for easier multiplication: 1 + ax3 + bx2 = y(-1 + -1x + x2) 1 + ax3 + bx2 = (-1 * y + -1x * y + x2 * y) Reorder the terms: 1 + ax3 + bx2 = (-1xy + x2y + -1y) 1 + ax3 + bx2 = (-1xy + x2y + -1y) Solving 1 + ax3 + bx2 = -1xy + x2y + -1y Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + ax3 + -1 + bx2 = -1xy + x2y + -1 + -1y Reorder the terms: 1 + -1 + ax3 + bx2 = -1xy + x2y + -1 + -1y Combine like terms: 1 + -1 = 0 0 + ax3 + bx2 = -1xy + x2y + -1 + -1y ax3 + bx2 = -1xy + x2y + -1 + -1y Reorder the terms: ax3 + bx2 = -1 + -1xy + x2y + -1y Add '-1bx2' to each side of the equation. ax3 + bx2 + -1bx2 = -1 + -1xy + x2y + -1bx2 + -1y Combine like terms: bx2 + -1bx2 = 0 ax3 + 0 = -1 + -1xy + x2y + -1bx2 + -1y ax3 = -1 + -1xy + x2y + -1bx2 + -1y Reorder the terms: ax3 = -1 + -1bx2 + -1xy + x2y + -1y Divide each side by 'x3'. a = -1x-3 + -1bx-1 + -1x-2y + x-1y + -1x-3y Simplifying a = -1x-3 + -1bx-1 + -1x-2y + x-1y + -1x-3y Reorder the terms: a = -1bx-1 + -1x-3 + -1x-3y + -1x-2y + x-1y
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