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Simplifying 2x2 + x = 16x + -50 Reorder the terms: x + 2x2 = 16x + -50 Reorder the terms: x + 2x2 = -50 + 16x Solving x + 2x2 = -50 + 16x Solving for variable 'x'. Reorder the terms: 50 + x + -16x + 2x2 = -50 + 16x + 50 + -16x Combine like terms: x + -16x = -15x 50 + -15x + 2x2 = -50 + 16x + 50 + -16x Reorder the terms: 50 + -15x + 2x2 = -50 + 50 + 16x + -16x Combine like terms: -50 + 50 = 0 50 + -15x + 2x2 = 0 + 16x + -16x 50 + -15x + 2x2 = 16x + -16x Combine like terms: 16x + -16x = 0 50 + -15x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 25 + -7.5x + x2 = 0 Move the constant term to the right: Add '-25' to each side of the equation. 25 + -7.5x + -25 + x2 = 0 + -25 Reorder the terms: 25 + -25 + -7.5x + x2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -7.5x + x2 = 0 + -25 -7.5x + x2 = 0 + -25 Combine like terms: 0 + -25 = -25 -7.5x + x2 = -25 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -25 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -25 + 14.0625 Combine like terms: -25 + 14.0625 = -10.9375 14.0625 + -7.5x + x2 = -10.9375 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = -10.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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