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Simplifying 2x + -5 = x2 + 10 Reorder the terms: -5 + 2x = x2 + 10 Reorder the terms: -5 + 2x = 10 + x2 Solving -5 + 2x = 10 + x2 Solving for variable 'x'. Reorder the terms: -5 + -10 + 2x + -1x2 = 10 + x2 + -10 + -1x2 Combine like terms: -5 + -10 = -15 -15 + 2x + -1x2 = 10 + x2 + -10 + -1x2 Reorder the terms: -15 + 2x + -1x2 = 10 + -10 + x2 + -1x2 Combine like terms: 10 + -10 = 0 -15 + 2x + -1x2 = 0 + x2 + -1x2 -15 + 2x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 2x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 15 + -2x + x2 = 0 Move the constant term to the right: Add '-15' to each side of the equation. 15 + -2x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -2x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x + x2 = 0 + -15 -2x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -2x + x2 = -15 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -15 + 1 Reorder the terms: 1 + -2x + x2 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + -2x + x2 = -14 Factor a perfect square on the left side: (x + -1)(x + -1) = -14 Can't calculate square root of the right side. The solution to this equation could not be determined.
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