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Simplifying 5x + -2 = 4x2 + 5 Reorder the terms: -2 + 5x = 4x2 + 5 Reorder the terms: -2 + 5x = 5 + 4x2 Solving -2 + 5x = 5 + 4x2 Solving for variable 'x'. Reorder the terms: -2 + -5 + 5x + -4x2 = 5 + 4x2 + -5 + -4x2 Combine like terms: -2 + -5 = -7 -7 + 5x + -4x2 = 5 + 4x2 + -5 + -4x2 Reorder the terms: -7 + 5x + -4x2 = 5 + -5 + 4x2 + -4x2 Combine like terms: 5 + -5 = 0 -7 + 5x + -4x2 = 0 + 4x2 + -4x2 -7 + 5x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -7 + 5x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.75 + -1.25x + x2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -1.25x + -1.75 + x2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -1.25x + x2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -1.25x + x2 = 0 + -1.75 -1.25x + x2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -1.25x + x2 = -1.75 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 = -1.75 + 0.390625 Reorder the terms: 0.390625 + -1.25x + x2 = -1.75 + 0.390625 Combine like terms: -1.75 + 0.390625 = -1.359375 0.390625 + -1.25x + x2 = -1.359375 Factor a perfect square on the left side: (x + -0.625)(x + -0.625) = -1.359375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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