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Simplifying Abx2 + (b2 + -1ac) * x + -1bc = 0 Reorder the terms: bx2A + (-1ac + b2) * x + -1bc = 0 Reorder the terms for easier multiplication: bx2A + x(-1ac + b2) + -1bc = 0 bx2A + (-1ac * x + b2 * x) + -1bc = 0 bx2A + (-1acx + b2x) + -1bc = 0 Reorder the terms: -1acx + -1bc + bx2A + b2x = 0 Solving -1acx + -1bc + bx2A + b2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'bc' to each side of the equation. -1acx + -1bc + bx2A + bc + b2x = 0 + bc Reorder the terms: -1acx + -1bc + bc + bx2A + b2x = 0 + bc Combine like terms: -1bc + bc = 0 -1acx + 0 + bx2A + b2x = 0 + bc -1acx + bx2A + b2x = 0 + bc Remove the zero: -1acx + bx2A + b2x = bc Add '-1bx2A' to each side of the equation. -1acx + bx2A + -1bx2A + b2x = bc + -1bx2A Combine like terms: bx2A + -1bx2A = 0 -1acx + 0 + b2x = bc + -1bx2A -1acx + b2x = bc + -1bx2A Add '-1b2x' to each side of the equation. -1acx + b2x + -1b2x = bc + -1bx2A + -1b2x Combine like terms: b2x + -1b2x = 0 -1acx + 0 = bc + -1bx2A + -1b2x -1acx = bc + -1bx2A + -1b2x Divide each side by '-1cx'. a = -1bx-1 + bc-1xA + b2c-1 Simplifying a = -1bx-1 + bc-1xA + b2c-1 Reorder the terms: a = bc-1xA + -1bx-1 + b2c-1
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