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Simplifying 7x2 + -15x + 54 = 0 Reorder the terms: 54 + -15x + 7x2 = 0 Solving 54 + -15x + 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'. 7.714285714 + -2.142857143x + x2 = 0 Move the constant term to the right: Add '-7.714285714' to each side of the equation. 7.714285714 + -2.142857143x + -7.714285714 + x2 = 0 + -7.714285714 Reorder the terms: 7.714285714 + -7.714285714 + -2.142857143x + x2 = 0 + -7.714285714 Combine like terms: 7.714285714 + -7.714285714 = 0.000000000 0.000000000 + -2.142857143x + x2 = 0 + -7.714285714 -2.142857143x + x2 = 0 + -7.714285714 Combine like terms: 0 + -7.714285714 = -7.714285714 -2.142857143x + x2 = -7.714285714 The x term is -2.142857143x. Take half its coefficient (-1.071428572). Square it (1.147959185) and add it to both sides. Add '1.147959185' to each side of the equation. -2.142857143x + 1.147959185 + x2 = -7.714285714 + 1.147959185 Reorder the terms: 1.147959185 + -2.142857143x + x2 = -7.714285714 + 1.147959185 Combine like terms: -7.714285714 + 1.147959185 = -6.566326529 1.147959185 + -2.142857143x + x2 = -6.566326529 Factor a perfect square on the left side: (x + -1.071428572)(x + -1.071428572) = -6.566326529 Can't calculate square root of the right side. The solution to this equation could not be determined.
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