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Simplifying -7x2 + 7x = 9 Reorder the terms: 7x + -7x2 = 9 Solving 7x + -7x2 = 9 Solving for variable 'x'. Reorder the terms: -9 + 7x + -7x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 7x + -7x2 = 0 Begin completing the square. Divide all terms by -7 the coefficient of the squared term: Divide each side by '-7'. 1.285714286 + -1x + x2 = 0 Move the constant term to the right: Add '-1.285714286' to each side of the equation. 1.285714286 + -1x + -1.285714286 + x2 = 0 + -1.285714286 Reorder the terms: 1.285714286 + -1.285714286 + -1x + x2 = 0 + -1.285714286 Combine like terms: 1.285714286 + -1.285714286 = 0.000000000 0.000000000 + -1x + x2 = 0 + -1.285714286 -1x + x2 = 0 + -1.285714286 Combine like terms: 0 + -1.285714286 = -1.285714286 -1x + x2 = -1.285714286 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -1.285714286 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -1.285714286 + 0.25 Combine like terms: -1.285714286 + 0.25 = -1.035714286 0.25 + -1x + x2 = -1.035714286 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -1.035714286 Can't calculate square root of the right side. The solution to this equation could not be determined.
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