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Simplifying x2 + 7 + x(34x + 1) = 0 Reorder the terms: x2 + 7 + x(1 + 34x) = 0 x2 + 7 + (1 * x + 34x * x) = 0 x2 + 7 + (1x + 34x2) = 0 Reorder the terms: 7 + 1x + x2 + 34x2 = 0 Combine like terms: x2 + 34x2 = 35x2 7 + 1x + 35x2 = 0 Solving 7 + 1x + 35x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 35 the coefficient of the squared term: Divide each side by '35'. 0.2 + 0.02857142857x + x2 = 0 Move the constant term to the right: Add '-0.2' to each side of the equation. 0.2 + 0.02857142857x + -0.2 + x2 = 0 + -0.2 Reorder the terms: 0.2 + -0.2 + 0.02857142857x + x2 = 0 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.02857142857x + x2 = 0 + -0.2 0.02857142857x + x2 = 0 + -0.2 Combine like terms: 0 + -0.2 = -0.2 0.02857142857x + x2 = -0.2 The x term is 0.02857142857x. Take half its coefficient (0.01428571429). Square it (0.0002040816328) and add it to both sides. Add '0.0002040816328' to each side of the equation. 0.02857142857x + 0.0002040816328 + x2 = -0.2 + 0.0002040816328 Reorder the terms: 0.0002040816328 + 0.02857142857x + x2 = -0.2 + 0.0002040816328 Combine like terms: -0.2 + 0.0002040816328 = -0.1997959183672 0.0002040816328 + 0.02857142857x + x2 = -0.1997959183672 Factor a perfect square on the left side: (x + 0.01428571429)(x + 0.01428571429) = -0.1997959183672 Can't calculate square root of the right side. The solution to this equation could not be determined.
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