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Simplifying 4x2 + -23 + 49 = 5x + 4 Reorder the terms: -23 + 49 + 4x2 = 5x + 4 Combine like terms: -23 + 49 = 26 26 + 4x2 = 5x + 4 Reorder the terms: 26 + 4x2 = 4 + 5x Solving 26 + 4x2 = 4 + 5x Solving for variable 'x'. Reorder the terms: 26 + -4 + -5x + 4x2 = 4 + 5x + -4 + -5x Combine like terms: 26 + -4 = 22 22 + -5x + 4x2 = 4 + 5x + -4 + -5x Reorder the terms: 22 + -5x + 4x2 = 4 + -4 + 5x + -5x Combine like terms: 4 + -4 = 0 22 + -5x + 4x2 = 0 + 5x + -5x 22 + -5x + 4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 22 + -5x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 5.5 + -1.25x + x2 = 0 Move the constant term to the right: Add '-5.5' to each side of the equation. 5.5 + -1.25x + -5.5 + x2 = 0 + -5.5 Reorder the terms: 5.5 + -5.5 + -1.25x + x2 = 0 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1.25x + x2 = 0 + -5.5 -1.25x + x2 = 0 + -5.5 Combine like terms: 0 + -5.5 = -5.5 -1.25x + x2 = -5.5 The x term is -1.25x. Take half its coefficient (-0.625). Square it (0.390625) and add it to both sides. Add '0.390625' to each side of the equation. -1.25x + 0.390625 + x2 = -5.5 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -5.5 + 0.390625 Combine like terms: -5.5 + 0.390625 = -5.109375 0.390625 + -1.25x + x2 = -5.109375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -5.109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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