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Simplifying (X2 + -1x + 3)(x + -6) = 0 Reorder the terms: (3 + X2 + -1x)(x + -6) = 0 Reorder the terms: (3 + X2 + -1x)(-6 + x) = 0 Multiply (3 + X2 + -1x) * (-6 + x) (3(-6 + x) + X2(-6 + x) + -1x * (-6 + x)) = 0 ((-6 * 3 + x * 3) + X2(-6 + x) + -1x * (-6 + x)) = 0 ((-18 + 3x) + X2(-6 + x) + -1x * (-6 + x)) = 0 (-18 + 3x + (-6 * X2 + x * X2) + -1x * (-6 + x)) = 0 (-18 + 3x + (-6X2 + xX2) + -1x * (-6 + x)) = 0 (-18 + 3x + -6X2 + xX2 + (-6 * -1x + x * -1x)) = 0 (-18 + 3x + -6X2 + xX2 + (6x + -1x2)) = 0 Reorder the terms: (-18 + -6X2 + 3x + 6x + xX2 + -1x2) = 0 Combine like terms: 3x + 6x = 9x (-18 + -6X2 + 9x + xX2 + -1x2) = 0 Solving -18 + -6X2 + 9x + xX2 + -1x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + -6X2 + 9x + xX2 + 18 + -1x2 = 0 + 18 Reorder the terms: -18 + 18 + -6X2 + 9x + xX2 + -1x2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -6X2 + 9x + xX2 + -1x2 = 0 + 18 -6X2 + 9x + xX2 + -1x2 = 0 + 18 Combine like terms: 0 + 18 = 18 -6X2 + 9x + xX2 + -1x2 = 18 Add '-9x' to each side of the equation. -6X2 + 9x + xX2 + -9x + -1x2 = 18 + -9x Reorder the terms: -6X2 + 9x + -9x + xX2 + -1x2 = 18 + -9x Combine like terms: 9x + -9x = 0 -6X2 + 0 + xX2 + -1x2 = 18 + -9x -6X2 + xX2 + -1x2 = 18 + -9x Add 'x2' to each side of the equation. -6X2 + xX2 + -1x2 + x2 = 18 + -9x + x2 Combine like terms: -1x2 + x2 = 0 -6X2 + xX2 + 0 = 18 + -9x + x2 -6X2 + xX2 = 18 + -9x + x2 Reorder the terms: -18 + -6X2 + 9x + xX2 + -1x2 = 18 + -9x + x2 + -18 + 9x + -1x2 Reorder the terms: -18 + -6X2 + 9x + xX2 + -1x2 = 18 + -18 + -9x + 9x + x2 + -1x2 Combine like terms: 18 + -18 = 0 -18 + -6X2 + 9x + xX2 + -1x2 = 0 + -9x + 9x + x2 + -1x2 -18 + -6X2 + 9x + xX2 + -1x2 = -9x + 9x + x2 + -1x2 Combine like terms: -9x + 9x = 0 -18 + -6X2 + 9x + xX2 + -1x2 = 0 + x2 + -1x2 -18 + -6X2 + 9x + xX2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -18 + -6X2 + 9x + xX2 + -1x2 = 0 The solution to this equation could not be determined.
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