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Simplifying x = 17x2 + 37 Reorder the terms: x = 37 + 17x2 Solving x = 37 + 17x2 Solving for variable 'x'. Reorder the terms: -37 + x + -17x2 = 37 + 17x2 + -37 + -17x2 Reorder the terms: -37 + x + -17x2 = 37 + -37 + 17x2 + -17x2 Combine like terms: 37 + -37 = 0 -37 + x + -17x2 = 0 + 17x2 + -17x2 -37 + x + -17x2 = 17x2 + -17x2 Combine like terms: 17x2 + -17x2 = 0 -37 + x + -17x2 = 0 Begin completing the square. Divide all terms by -17 the coefficient of the squared term: Divide each side by '-17'. 2.176470588 + -0.05882352941x + x2 = 0 Move the constant term to the right: Add '-2.176470588' to each side of the equation. 2.176470588 + -0.05882352941x + -2.176470588 + x2 = 0 + -2.176470588 Reorder the terms: 2.176470588 + -2.176470588 + -0.05882352941x + x2 = 0 + -2.176470588 Combine like terms: 2.176470588 + -2.176470588 = 0.000000000 0.000000000 + -0.05882352941x + x2 = 0 + -2.176470588 -0.05882352941x + x2 = 0 + -2.176470588 Combine like terms: 0 + -2.176470588 = -2.176470588 -0.05882352941x + x2 = -2.176470588 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -0.05882352941x + 0.25 + x2 = -2.176470588 + 0.25 Reorder the terms: 0.25 + -0.05882352941x + x2 = -2.176470588 + 0.25 Combine like terms: -2.176470588 + 0.25 = -1.926470588 0.25 + -0.05882352941x + x2 = -1.926470588 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -1.926470588 Can't calculate square root of the right side. The solution to this equation could not be determined.
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