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Simplifying 10x^{2}+ 5x + 8 = 0 Reorder the terms: 8 + 5x + 10x^{2}= 0 Solving 8 + 5x + 10x^{2}= 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 10 the coefficient of the squared term: Divide each side by '10'. 0.8 + 0.5x + x^{2}= 0 Move the constant term to the right: Add '-0.8' to each side of the equation. 0.8 + 0.5x + -0.8 + x^{2}= 0 + -0.8 Reorder the terms: 0.8 + -0.8 + 0.5x + x^{2}= 0 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + 0.5x + x^{2}= 0 + -0.8 0.5x + x^{2}= 0 + -0.8 Combine like terms: 0 + -0.8 = -0.8 0.5x + x^{2}= -0.8 The x term is 0.5x. Take half its coefficient (0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. 0.5x + 0.0625 + x^{2}= -0.8 + 0.0625 Reorder the terms: 0.0625 + 0.5x + x^{2}= -0.8 + 0.0625 Combine like terms: -0.8 + 0.0625 = -0.7375 0.0625 + 0.5x + x^{2}= -0.7375 Factor a perfect square on the left side: (x + 0.25)(x + 0.25) = -0.7375 Can't calculate square root of the right side. The solution to this equation could not be determined.

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