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Simplifying 8x + -14 = x2 + 15 Reorder the terms: -14 + 8x = x2 + 15 Reorder the terms: -14 + 8x = 15 + x2 Solving -14 + 8x = 15 + x2 Solving for variable 'x'. Reorder the terms: -14 + -15 + 8x + -1x2 = 15 + x2 + -15 + -1x2 Combine like terms: -14 + -15 = -29 -29 + 8x + -1x2 = 15 + x2 + -15 + -1x2 Reorder the terms: -29 + 8x + -1x2 = 15 + -15 + x2 + -1x2 Combine like terms: 15 + -15 = 0 -29 + 8x + -1x2 = 0 + x2 + -1x2 -29 + 8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -29 + 8x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. 29 + -8x + x2 = 0 Move the constant term to the right: Add '-29' to each side of the equation. 29 + -8x + -29 + x2 = 0 + -29 Reorder the terms: 29 + -29 + -8x + x2 = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -8x + x2 = 0 + -29 -8x + x2 = 0 + -29 Combine like terms: 0 + -29 = -29 -8x + x2 = -29 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = -29 + 16 Reorder the terms: 16 + -8x + x2 = -29 + 16 Combine like terms: -29 + 16 = -13 16 + -8x + x2 = -13 Factor a perfect square on the left side: (x + -4)(x + -4) = -13 Can't calculate square root of the right side. The solution to this equation could not be determined.
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