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Simplifying (23x + -2)(2x + -2) = 90 + -907 Reorder the terms: (-2 + 23x)(2x + -2) = 90 + -907 Reorder the terms: (-2 + 23x)(-2 + 2x) = 90 + -907 Multiply (-2 + 23x) * (-2 + 2x) (-2(-2 + 2x) + 23x * (-2 + 2x)) = 90 + -907 ((-2 * -2 + 2x * -2) + 23x * (-2 + 2x)) = 90 + -907 ((4 + -4x) + 23x * (-2 + 2x)) = 90 + -907 (4 + -4x + (-2 * 23x + 2x * 23x)) = 90 + -907 (4 + -4x + (-46x + 46x2)) = 90 + -907 Combine like terms: -4x + -46x = -50x (4 + -50x + 46x2) = 90 + -907 Combine like terms: 90 + -907 = -817 4 + -50x + 46x2 = -817 Solving 4 + -50x + 46x2 = -817 Solving for variable 'x'. Reorder the terms: 4 + 817 + -50x + 46x2 = -817 + 817 Combine like terms: 4 + 817 = 821 821 + -50x + 46x2 = -817 + 817 Combine like terms: -817 + 817 = 0 821 + -50x + 46x2 = 0 Begin completing the square. Divide all terms by 46 the coefficient of the squared term: Divide each side by '46'. 17.84782609 + -1.086956522x + x2 = 0 Move the constant term to the right: Add '-17.84782609' to each side of the equation. 17.84782609 + -1.086956522x + -17.84782609 + x2 = 0 + -17.84782609 Reorder the terms: 17.84782609 + -17.84782609 + -1.086956522x + x2 = 0 + -17.84782609 Combine like terms: 17.84782609 + -17.84782609 = 0.00000000 0.00000000 + -1.086956522x + x2 = 0 + -17.84782609 -1.086956522x + x2 = 0 + -17.84782609 Combine like terms: 0 + -17.84782609 = -17.84782609 -1.086956522x + x2 = -17.84782609 The x term is -1.086956522x. Take half its coefficient (-0.543478261). Square it (0.2953686202) and add it to both sides. Add '0.2953686202' to each side of the equation. -1.086956522x + 0.2953686202 + x2 = -17.84782609 + 0.2953686202 Reorder the terms: 0.2953686202 + -1.086956522x + x2 = -17.84782609 + 0.2953686202 Combine like terms: -17.84782609 + 0.2953686202 = -17.5524574698 0.2953686202 + -1.086956522x + x2 = -17.5524574698 Factor a perfect square on the left side: (x + -0.543478261)(x + -0.543478261) = -17.5524574698 Can't calculate square root of the right side. The solution to this equation could not be determined.
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