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Simplifying x2 + -3x + -18 = (x + -1a)(x + 3) Reorder the terms: -18 + -3x + x2 = (x + -1a)(x + 3) Reorder the terms: -18 + -3x + x2 = (-1a + x)(x + 3) Reorder the terms: -18 + -3x + x2 = (-1a + x)(3 + x) Multiply (-1a + x) * (3 + x) -18 + -3x + x2 = (-1a * (3 + x) + x(3 + x)) -18 + -3x + x2 = ((3 * -1a + x * -1a) + x(3 + x)) -18 + -3x + x2 = ((-3a + -1ax) + x(3 + x)) -18 + -3x + x2 = (-3a + -1ax + (3 * x + x * x)) -18 + -3x + x2 = (-3a + -1ax + (3x + x2)) -18 + -3x + x2 = (-3a + -1ax + 3x + x2) Add '-1x2' to each side of the equation. -18 + -3x + x2 + -1x2 = -3a + -1ax + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -3x + 0 = -3a + -1ax + 3x + x2 + -1x2 -18 + -3x = -3a + -1ax + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -3x = -3a + -1ax + 3x + 0 -18 + -3x = -3a + -1ax + 3x Solving -18 + -3x = -3a + -1ax + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'ax' to each side of the equation. -18 + ax + -3x = -3a + -1ax + ax + 3x Combine like terms: -1ax + ax = 0 -18 + ax + -3x = -3a + 0 + 3x -18 + ax + -3x = -3a + 3x Add '-3x' to each side of the equation. -18 + ax + -3x + -3x = -3a + 3x + -3x Combine like terms: -3x + -3x = -6x -18 + ax + -6x = -3a + 3x + -3x Combine like terms: 3x + -3x = 0 -18 + ax + -6x = -3a + 0 -18 + ax + -6x = -3a Add '18' to each side of the equation. -18 + ax + 18 + -6x = 18 + -3a Reorder the terms: -18 + 18 + ax + -6x = 18 + -3a Combine like terms: -18 + 18 = 0 0 + ax + -6x = 18 + -3a ax + -6x = 18 + -3a Reorder the terms: -18 + 3a + ax + -6x = 18 + -3a + -18 + 3a Reorder the terms: -18 + 3a + ax + -6x = 18 + -18 + -3a + 3a Combine like terms: 18 + -18 = 0 -18 + 3a + ax + -6x = 0 + -3a + 3a -18 + 3a + ax + -6x = -3a + 3a Combine like terms: -3a + 3a = 0 -18 + 3a + ax + -6x = 0 The solution to this equation could not be determined.
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