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Simplifying 3x + -15 = x2 + 18 Reorder the terms: -15 + 3x = x2 + 18 Reorder the terms: -15 + 3x = 18 + x2 Solving -15 + 3x = 18 + x2 Solving for variable 'x'. Reorder the terms: -15 + -18 + 3x + -1x2 = 18 + x2 + -18 + -1x2 Combine like terms: -15 + -18 = -33 -33 + 3x + -1x2 = 18 + x2 + -18 + -1x2 Reorder the terms: -33 + 3x + -1x2 = 18 + -18 + x2 + -1x2 Combine like terms: 18 + -18 = 0 -33 + 3x + -1x2 = 0 + x2 + -1x2 -33 + 3x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -33 + 3x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 33 + -3x + x2 = 0 Move the constant term to the right: Add '-33' to each side of the equation. 33 + -3x + -33 + x2 = 0 + -33 Reorder the terms: 33 + -33 + -3x + x2 = 0 + -33 Combine like terms: 33 + -33 = 0 0 + -3x + x2 = 0 + -33 -3x + x2 = 0 + -33 Combine like terms: 0 + -33 = -33 -3x + x2 = -33 The x term is -3x. Take half its coefficient (-1.5). Square it (2.25) and add it to both sides. Add '2.25' to each side of the equation. -3x + 2.25 + x2 = -33 + 2.25 Reorder the terms: 2.25 + -3x + x2 = -33 + 2.25 Combine like terms: -33 + 2.25 = -30.75 2.25 + -3x + x2 = -30.75 Factor a perfect square on the left side: (x + -1.5)(x + -1.5) = -30.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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