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Simplifying 6x2 + 8x + -3 + 2x2 + -9x + 8 = 0 Reorder the terms: -3 + 8 + 8x + -9x + 6x2 + 2x2 = 0 Combine like terms: -3 + 8 = 5 5 + 8x + -9x + 6x2 + 2x2 = 0 Combine like terms: 8x + -9x = -1x 5 + -1x + 6x2 + 2x2 = 0 Combine like terms: 6x2 + 2x2 = 8x2 5 + -1x + 8x2 = 0 Solving 5 + -1x + 8x2 = 0 Solving for variable 'x'. 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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