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Simplifying 3x2 + 5x2 = -3x + -5 Combine like terms: 3x2 + 5x2 = 8x2 8x2 = -3x + -5 Reorder the terms: 8x2 = -5 + -3x Solving 8x2 = -5 + -3x Solving for variable 'x'. Reorder the terms: 5 + 3x + 8x2 = -5 + -3x + 5 + 3x Reorder the terms: 5 + 3x + 8x2 = -5 + 5 + -3x + 3x Combine like terms: -5 + 5 = 0 5 + 3x + 8x2 = 0 + -3x + 3x 5 + 3x + 8x2 = -3x + 3x Combine like terms: -3x + 3x = 0 5 + 3x + 8x2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + 0.375x + x2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + 0.375x + -0.625 + x2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + 0.375x + x2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + 0.375x + x2 = 0 + -0.625 0.375x + x2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 0.375x + x2 = -0.625 The x term is 0.375x. Take half its coefficient (0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. 0.375x + 0.03515625 + x2 = -0.625 + 0.03515625 Reorder the terms: 0.03515625 + 0.375x + x2 = -0.625 + 0.03515625 Combine like terms: -0.625 + 0.03515625 = -0.58984375 0.03515625 + 0.375x + x2 = -0.58984375 Factor a perfect square on the left side: (x + 0.1875)(x + 0.1875) = -0.58984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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