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Simplifying 6x2 + 10x + 5 = 0 Reorder the terms: 5 + 10x + 6x2 = 0 Solving 5 + 10x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + 1.666666667x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + 1.666666667x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + 1.666666667x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + 1.666666667x + x2 = 0 + -0.8333333333 1.666666667x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 1.666666667x + x2 = -0.8333333333 The x term is 1.666666667x. Take half its coefficient (0.8333333335). Square it (0.6944444447) and add it to both sides. Add '0.6944444447' to each side of the equation. 1.666666667x + 0.6944444447 + x2 = -0.8333333333 + 0.6944444447 Reorder the terms: 0.6944444447 + 1.666666667x + x2 = -0.8333333333 + 0.6944444447 Combine like terms: -0.8333333333 + 0.6944444447 = -0.1388888886 0.6944444447 + 1.666666667x + x2 = -0.1388888886 Factor a perfect square on the left side: (x + 0.8333333335)(x + 0.8333333335) = -0.1388888886 Can't calculate square root of the right side. The solution to this equation could not be determined.
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