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Simplifying x2 + -9x + 18 = (x + -1A)(x + -1B) Reorder the terms: 18 + -9x + x2 = (x + -1A)(x + -1B) Reorder the terms: 18 + -9x + x2 = (-1A + x)(x + -1B) Reorder the terms: 18 + -9x + x2 = (-1A + x)(-1B + x) Multiply (-1A + x) * (-1B + x) 18 + -9x + x2 = (-1A * (-1B + x) + x(-1B + x)) 18 + -9x + x2 = ((-1B * -1A + x * -1A) + x(-1B + x)) 18 + -9x + x2 = ((1AB + -1xA) + x(-1B + x)) 18 + -9x + x2 = (1AB + -1xA + (-1B * x + x * x)) 18 + -9x + x2 = (1AB + -1xA + (-1xB + x2)) 18 + -9x + x2 = (1AB + -1xA + -1xB + x2) Add '-1x2' to each side of the equation. 18 + -9x + x2 + -1x2 = 1AB + -1xA + -1xB + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x + 0 = 1AB + -1xA + -1xB + x2 + -1x2 18 + -9x = 1AB + -1xA + -1xB + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x = 1AB + -1xA + -1xB + 0 18 + -9x = 1AB + -1xA + -1xB Solving 18 + -9x = 1AB + -1xA + -1xB Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'xA' to each side of the equation. 18 + -9x + xA = 1AB + -1xA + xA + -1xB Combine like terms: -1xA + xA = 0 18 + -9x + xA = 1AB + 0 + -1xB 18 + -9x + xA = 1AB + -1xB Add 'xB' to each side of the equation. 18 + -9x + xA + xB = 1AB + -1xB + xB Combine like terms: -1xB + xB = 0 18 + -9x + xA + xB = 1AB + 0 18 + -9x + xA + xB = 1AB Add '-18' to each side of the equation. 18 + -9x + xA + -18 + xB = -18 + 1AB Reorder the terms: 18 + -18 + -9x + xA + xB = -18 + 1AB Combine like terms: 18 + -18 = 0 0 + -9x + xA + xB = -18 + 1AB -9x + xA + xB = -18 + 1AB Reorder the terms: 18 + -1AB + -9x + xA + xB = -18 + 1AB + 18 + -1AB Reorder the terms: 18 + -1AB + -9x + xA + xB = -18 + 18 + 1AB + -1AB Combine like terms: -18 + 18 = 0 18 + -1AB + -9x + xA + xB = 0 + 1AB + -1AB 18 + -1AB + -9x + xA + xB = 1AB + -1AB Combine like terms: 1AB + -1AB = 0 18 + -1AB + -9x + xA + xB = 0 The solution to this equation could not be determined.
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