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Simplifying x = 16x2 + -8x + 7 Reorder the terms: x = 7 + -8x + 16x2 Solving x = 7 + -8x + 16x2 Solving for variable 'x'. Reorder the terms: -7 + x + 8x + -16x2 = 7 + -8x + 16x2 + -7 + 8x + -16x2 Combine like terms: x + 8x = 9x -7 + 9x + -16x2 = 7 + -8x + 16x2 + -7 + 8x + -16x2 Reorder the terms: -7 + 9x + -16x2 = 7 + -7 + -8x + 8x + 16x2 + -16x2 Combine like terms: 7 + -7 = 0 -7 + 9x + -16x2 = 0 + -8x + 8x + 16x2 + -16x2 -7 + 9x + -16x2 = -8x + 8x + 16x2 + -16x2 Combine like terms: -8x + 8x = 0 -7 + 9x + -16x2 = 0 + 16x2 + -16x2 -7 + 9x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -7 + 9x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 0.4375 + -0.5625x + x2 = 0 Move the constant term to the right: Add '-0.4375' to each side of the equation. 0.4375 + -0.5625x + -0.4375 + x2 = 0 + -0.4375 Reorder the terms: 0.4375 + -0.4375 + -0.5625x + x2 = 0 + -0.4375 Combine like terms: 0.4375 + -0.4375 = 0.0000 0.0000 + -0.5625x + x2 = 0 + -0.4375 -0.5625x + x2 = 0 + -0.4375 Combine like terms: 0 + -0.4375 = -0.4375 -0.5625x + x2 = -0.4375 The x term is -0.5625x. Take half its coefficient (-0.28125). Square it (0.0791015625) and add it to both sides. Add '0.0791015625' to each side of the equation. -0.5625x + 0.0791015625 + x2 = -0.4375 + 0.0791015625 Reorder the terms: 0.0791015625 + -0.5625x + x2 = -0.4375 + 0.0791015625 Combine like terms: -0.4375 + 0.0791015625 = -0.3583984375 0.0791015625 + -0.5625x + x2 = -0.3583984375 Factor a perfect square on the left side: (x + -0.28125)(x + -0.28125) = -0.3583984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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