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Simplifying 9 + -7x = 16x2 + -24x + 14 Reorder the terms: 9 + -7x = 14 + -24x + 16x2 Solving 9 + -7x = 14 + -24x + 16x2 Solving for variable 'x'. Reorder the terms: 9 + -14 + -7x + 24x + -16x2 = 14 + -24x + 16x2 + -14 + 24x + -16x2 Combine like terms: 9 + -14 = -5 -5 + -7x + 24x + -16x2 = 14 + -24x + 16x2 + -14 + 24x + -16x2 Combine like terms: -7x + 24x = 17x -5 + 17x + -16x2 = 14 + -24x + 16x2 + -14 + 24x + -16x2 Reorder the terms: -5 + 17x + -16x2 = 14 + -14 + -24x + 24x + 16x2 + -16x2 Combine like terms: 14 + -14 = 0 -5 + 17x + -16x2 = 0 + -24x + 24x + 16x2 + -16x2 -5 + 17x + -16x2 = -24x + 24x + 16x2 + -16x2 Combine like terms: -24x + 24x = 0 -5 + 17x + -16x2 = 0 + 16x2 + -16x2 -5 + 17x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -5 + 17x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.3125 + -1.0625x + x2 = 0 Move the constant term to the right: Add '-0.3125' to each side of the equation. 0.3125 + -1.0625x + -0.3125 + x2 = 0 + -0.3125 Reorder the terms: 0.3125 + -0.3125 + -1.0625x + x2 = 0 + -0.3125 Combine like terms: 0.3125 + -0.3125 = 0.0000 0.0000 + -1.0625x + x2 = 0 + -0.3125 -1.0625x + x2 = 0 + -0.3125 Combine like terms: 0 + -0.3125 = -0.3125 -1.0625x + x2 = -0.3125 The x term is -1.0625x. Take half its coefficient (-0.53125). Square it (0.2822265625) and add it to both sides. Add '0.2822265625' to each side of the equation. -1.0625x + 0.2822265625 + x2 = -0.3125 + 0.2822265625 Reorder the terms: 0.2822265625 + -1.0625x + x2 = -0.3125 + 0.2822265625 Combine like terms: -0.3125 + 0.2822265625 = -0.0302734375 0.2822265625 + -1.0625x + x2 = -0.0302734375 Factor a perfect square on the left side: (x + -0.53125)(x + -0.53125) = -0.0302734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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