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Simplifying 5x + -2x + 3 = -8x2 + 4x + -2 Reorder the terms: 3 + 5x + -2x = -8x2 + 4x + -2 Combine like terms: 5x + -2x = 3x 3 + 3x = -8x2 + 4x + -2 Reorder the terms: 3 + 3x = -2 + 4x + -8x2 Solving 3 + 3x = -2 + 4x + -8x2 Solving for variable 'x'. Reorder the terms: 3 + 2 + 3x + -4x + 8x2 = -2 + 4x + -8x2 + 2 + -4x + 8x2 Combine like terms: 3 + 2 = 5 5 + 3x + -4x + 8x2 = -2 + 4x + -8x2 + 2 + -4x + 8x2 Combine like terms: 3x + -4x = -1x 5 + -1x + 8x2 = -2 + 4x + -8x2 + 2 + -4x + 8x2 Reorder the terms: 5 + -1x + 8x2 = -2 + 2 + 4x + -4x + -8x2 + 8x2 Combine like terms: -2 + 2 = 0 5 + -1x + 8x2 = 0 + 4x + -4x + -8x2 + 8x2 5 + -1x + 8x2 = 4x + -4x + -8x2 + 8x2 Combine like terms: 4x + -4x = 0 5 + -1x + 8x2 = 0 + -8x2 + 8x2 5 + -1x + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 5 + -1x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.125x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.125x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.125x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.125x + x2 = 0 + -0.625 -0.125x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.125x + x2 = -0.625 The x term is -0.125x. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125x + 0.00390625 + x2 = -0.625 + 0.00390625 Reorder the terms: 0.00390625 + -0.125x + x2 = -0.625 + 0.00390625 Combine like terms: -0.625 + 0.00390625 = -0.62109375 0.00390625 + -0.125x + x2 = -0.62109375 Factor a perfect square on the left side: (x + -0.0625)(x + -0.0625) = -0.62109375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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