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Simplifying X(X + -18) = -106 Reorder the terms: X(-18 + X) = -106 (-18 * X + X * X) = -106 (-18X + X2) = -106 Solving -18X + X2 = -106 Solving for variable 'X'. Reorder the terms: 106 + -18X + X2 = -106 + 106 Combine like terms: -106 + 106 = 0 106 + -18X + X2 = 0 Begin completing the square. Move the constant term to the right: Add '-106' to each side of the equation. 106 + -18X + -106 + X2 = 0 + -106 Reorder the terms: 106 + -106 + -18X + X2 = 0 + -106 Combine like terms: 106 + -106 = 0 0 + -18X + X2 = 0 + -106 -18X + X2 = 0 + -106 Combine like terms: 0 + -106 = -106 -18X + X2 = -106 The X term is -18X. Take half its coefficient (-9). Square it (81) and add it to both sides. Add '81' to each side of the equation. -18X + 81 + X2 = -106 + 81 Reorder the terms: 81 + -18X + X2 = -106 + 81 Combine like terms: -106 + 81 = -25 81 + -18X + X2 = -25 Factor a perfect square on the left side: (X + -9)(X + -9) = -25 Can't calculate square root of the right side. The solution to this equation could not be determined.
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