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Simplifying 59x = 16x2 + 59 Reorder the terms: 59x = 59 + 16x2 Solving 59x = 59 + 16x2 Solving for variable 'x'. Reorder the terms: -59 + 59x + -16x2 = 59 + 16x2 + -59 + -16x2 Reorder the terms: -59 + 59x + -16x2 = 59 + -59 + 16x2 + -16x2 Combine like terms: 59 + -59 = 0 -59 + 59x + -16x2 = 0 + 16x2 + -16x2 -59 + 59x + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 -59 + 59x + -16x2 = 0 Begin completing the square. Divide all terms by -16 the coefficient of the squared term: Divide each side by '-16'. 3.6875 + -3.6875x + x2 = 0 Move the constant term to the right: Add '-3.6875' to each side of the equation. 3.6875 + -3.6875x + -3.6875 + x2 = 0 + -3.6875 Reorder the terms: 3.6875 + -3.6875 + -3.6875x + x2 = 0 + -3.6875 Combine like terms: 3.6875 + -3.6875 = 0.0000 0.0000 + -3.6875x + x2 = 0 + -3.6875 -3.6875x + x2 = 0 + -3.6875 Combine like terms: 0 + -3.6875 = -3.6875 -3.6875x + x2 = -3.6875 The x term is -3.6875x. Take half its coefficient (-1.84375). Square it (3.399414063) and add it to both sides. Add '3.399414063' to each side of the equation. -3.6875x + 3.399414063 + x2 = -3.6875 + 3.399414063 Reorder the terms: 3.399414063 + -3.6875x + x2 = -3.6875 + 3.399414063 Combine like terms: -3.6875 + 3.399414063 = -0.288085937 3.399414063 + -3.6875x + x2 = -0.288085937 Factor a perfect square on the left side: (x + -1.84375)(x + -1.84375) = -0.288085937 Can't calculate square root of the right side. The solution to this equation could not be determined.
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