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Simplifying Abx2 + -1(a + b) * x + 1 = 0 Reorder the terms for easier multiplication: bx2A + -1x(a + b) + 1 = 0 bx2A + (a * -1x + b * -1x) + 1 = 0 bx2A + (-1ax + -1bx) + 1 = 0 Reorder the terms: 1 + -1ax + -1bx + bx2A = 0 Solving 1 + -1ax + -1bx + bx2A = 0 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 + -1ax + -1bx + -1 + bx2A = 0 + -1 Reorder the terms: 1 + -1 + -1ax + -1bx + bx2A = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1ax + -1bx + bx2A = 0 + -1 -1ax + -1bx + bx2A = 0 + -1 Combine like terms: 0 + -1 = -1 -1ax + -1bx + bx2A = -1 Add 'bx' to each side of the equation. -1ax + -1bx + bx + bx2A = -1 + bx Combine like terms: -1bx + bx = 0 -1ax + 0 + bx2A = -1 + bx -1ax + bx2A = -1 + bx Add '-1bx2A' to each side of the equation. -1ax + bx2A + -1bx2A = -1 + bx + -1bx2A Combine like terms: bx2A + -1bx2A = 0 -1ax + 0 = -1 + bx + -1bx2A -1ax = -1 + bx + -1bx2A Divide each side by '-1x'. a = x-1 + -1b + bxA Simplifying a = x-1 + -1b + bxA Reorder the terms: a = -1b + bxA + x-1
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