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Simplifying -16x2 + 11x = 28 Reorder the terms: 11x + -16x2 = 28 Solving 11x + -16x2 = 28 Solving for variable 'x'. Reorder the terms: -28 + 11x + -16x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 11x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 1.75 + -0.6875x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.6875x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.6875x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.6875x + x2 = 0 + -1.75 -0.6875x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -0.6875x + x2 = -1.75 The x term is -0.6875x. Take half its coefficient (-0.34375). Square it (0.1181640625) and add it to both sides. Add '0.1181640625' to each side of the equation. -0.6875x + 0.1181640625 + x2 = -1.75 + 0.1181640625 Reorder the terms: 0.1181640625 + -0.6875x + x2 = -1.75 + 0.1181640625 Combine like terms: -1.75 + 0.1181640625 = -1.6318359375 0.1181640625 + -0.6875x + x2 = -1.6318359375 Factor a perfect square on the left side: (x + -0.34375)(x + -0.34375) = -1.6318359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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