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Simplifying 2x2 + 8 = 5x + -6 Reorder the terms: 8 + 2x2 = 5x + -6 Reorder the terms: 8 + 2x2 = -6 + 5x Solving 8 + 2x2 = -6 + 5x Solving for variable 'x'. Reorder the terms: 8 + 6 + -5x + 2x2 = -6 + 5x + 6 + -5x Combine like terms: 8 + 6 = 14 14 + -5x + 2x2 = -6 + 5x + 6 + -5x Reorder the terms: 14 + -5x + 2x2 = -6 + 6 + 5x + -5x Combine like terms: -6 + 6 = 0 14 + -5x + 2x2 = 0 + 5x + -5x 14 + -5x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 14 + -5x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 7 + -2.5x + x2 = 0 Move the constant term to the right: Add '-7' to each side of the equation. 7 + -2.5x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + -2.5x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2.5x + x2 = 0 + -7 -2.5x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2.5x + x2 = -7 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -7 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -7 + 1.5625 Combine like terms: -7 + 1.5625 = -5.4375 1.5625 + -2.5x + x2 = -5.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -5.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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