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Simplifying 7(x2) + -2x + 174 = 0 Reorder the terms: 174 + -2x + 7x2 = 0 Solving 174 + -2x + 7x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 7 the coefficient of the squared term: Divide each side by '7'. 24.85714286 + -0.2857142857x + x2 = 0 Move the constant term to the right: Add '-24.85714286' to each side of the equation. 24.85714286 + -0.2857142857x + -24.85714286 + x2 = 0 + -24.85714286 Reorder the terms: 24.85714286 + -24.85714286 + -0.2857142857x + x2 = 0 + -24.85714286 Combine like terms: 24.85714286 + -24.85714286 = 0.00000000 0.00000000 + -0.2857142857x + x2 = 0 + -24.85714286 -0.2857142857x + x2 = 0 + -24.85714286 Combine like terms: 0 + -24.85714286 = -24.85714286 -0.2857142857x + x2 = -24.85714286 The x term is -0.2857142857x. Take half its coefficient (-0.1428571429). Square it (0.02040816328) and add it to both sides. Add '0.02040816328' to each side of the equation. -0.2857142857x + 0.02040816328 + x2 = -24.85714286 + 0.02040816328 Reorder the terms: 0.02040816328 + -0.2857142857x + x2 = -24.85714286 + 0.02040816328 Combine like terms: -24.85714286 + 0.02040816328 = -24.83673469672 0.02040816328 + -0.2857142857x + x2 = -24.83673469672 Factor a perfect square on the left side: (x + -0.1428571429)(x + -0.1428571429) = -24.83673469672 Can't calculate square root of the right side. The solution to this equation could not be determined.
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