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Simplifying yx3 + bx2 + 1 = (x2 + -1x + -1)(a) Reorder the terms: 1 + bx2 + x3y = (x2 + -1x + -1)(a) Reorder the terms: 1 + bx2 + x3y = (-1 + -1x + x2)(a) Reorder the terms for easier multiplication: 1 + bx2 + x3y = a(-1 + -1x + x2) 1 + bx2 + x3y = (-1 * a + -1x * a + x2 * a) 1 + bx2 + x3y = (-1a + -1ax + ax2) Solving 1 + bx2 + x3y = -1a + -1ax + ax2 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + bx2 + -1 + x3y = -1a + -1ax + -1 + ax2 Reorder the terms: 1 + -1 + bx2 + x3y = -1a + -1ax + -1 + ax2 Combine like terms: 1 + -1 = 0 0 + bx2 + x3y = -1a + -1ax + -1 + ax2 bx2 + x3y = -1a + -1ax + -1 + ax2 Reorder the terms: bx2 + x3y = -1 + -1a + -1ax + ax2 Add '-1x3y' to each side of the equation. bx2 + x3y + -1x3y = -1 + -1a + -1ax + ax2 + -1x3y Combine like terms: x3y + -1x3y = 0 bx2 + 0 = -1 + -1a + -1ax + ax2 + -1x3y bx2 = -1 + -1a + -1ax + ax2 + -1x3y Divide each side by 'x2'. b = -1x-2 + -1ax-2 + -1ax-1 + a + -1xy Simplifying b = -1x-2 + -1ax-2 + -1ax-1 + a + -1xy Reorder the terms: b = a + -1ax-2 + -1ax-1 + -1x-2 + -1xy
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