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Simplifying (17 + -9x + 4x2) + -1(7x + -4x2 + -28) = 0 Remove parenthesis around (17 + -9x + 4x2) 17 + -9x + 4x2 + -1(7x + -4x2 + -28) = 0 Reorder the terms: 17 + -9x + 4x2 + -1(-28 + 7x + -4x2) = 0 17 + -9x + 4x2 + (-28 * -1 + 7x * -1 + -4x2 * -1) = 0 17 + -9x + 4x2 + (28 + -7x + 4x2) = 0 Reorder the terms: 17 + 28 + -9x + -7x + 4x2 + 4x2 = 0 Combine like terms: 17 + 28 = 45 45 + -9x + -7x + 4x2 + 4x2 = 0 Combine like terms: -9x + -7x = -16x 45 + -16x + 4x2 + 4x2 = 0 Combine like terms: 4x2 + 4x2 = 8x2 45 + -16x + 8x2 = 0 Solving 45 + -16x + 8x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 5.625 + -2x + x2 = 0 Move the constant term to the right: Add '-5.625' to each side of the equation. 5.625 + -2x + -5.625 + x2 = 0 + -5.625 Reorder the terms: 5.625 + -5.625 + -2x + x2 = 0 + -5.625 Combine like terms: 5.625 + -5.625 = 0.000 0.000 + -2x + x2 = 0 + -5.625 -2x + x2 = 0 + -5.625 Combine like terms: 0 + -5.625 = -5.625 -2x + x2 = -5.625 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 = -5.625 + 1 Reorder the terms: 1 + -2x + x2 = -5.625 + 1 Combine like terms: -5.625 + 1 = -4.625 1 + -2x + x2 = -4.625 Factor a perfect square on the left side: (x + -1)(x + -1) = -4.625 Can't calculate square root of the right side. The solution to this equation could not be determined.
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