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Simplifying x * -7 = x * -6x + -7 Reorder the terms for easier multiplication: -7x = x * -6x + -7 Reorder the terms for easier multiplication: -7x = -6x * x + -7 Multiply x * x -7x = -6x2 + -7 Reorder the terms: -7x = -7 + -6x2 Solving -7x = -7 + -6x2 Solving for variable 'x'. Reorder the terms: 7 + -7x + 6x2 = -7 + -6x2 + 7 + 6x2 Reorder the terms: 7 + -7x + 6x2 = -7 + 7 + -6x2 + 6x2 Combine like terms: -7 + 7 = 0 7 + -7x + 6x2 = 0 + -6x2 + 6x2 7 + -7x + 6x2 = -6x2 + 6x2 Combine like terms: -6x2 + 6x2 = 0 7 + -7x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 1.166666667 + -1.166666667x + x2 = 0 Move the constant term to the right: Add '-1.166666667' to each side of the equation. 1.166666667 + -1.166666667x + -1.166666667 + x2 = 0 + -1.166666667 Reorder the terms: 1.166666667 + -1.166666667 + -1.166666667x + x2 = 0 + -1.166666667 Combine like terms: 1.166666667 + -1.166666667 = 0.000000000 0.000000000 + -1.166666667x + x2 = 0 + -1.166666667 -1.166666667x + x2 = 0 + -1.166666667 Combine like terms: 0 + -1.166666667 = -1.166666667 -1.166666667x + x2 = -1.166666667 The x term is -1.166666667x. Take half its coefficient (-0.5833333335). Square it (0.3402777780) and add it to both sides. Add '0.3402777780' to each side of the equation. -1.166666667x + 0.3402777780 + x2 = -1.166666667 + 0.3402777780 Reorder the terms: 0.3402777780 + -1.166666667x + x2 = -1.166666667 + 0.3402777780 Combine like terms: -1.166666667 + 0.3402777780 = -0.826388889 0.3402777780 + -1.166666667x + x2 = -0.826388889 Factor a perfect square on the left side: (x + -0.5833333335)(x + -0.5833333335) = -0.826388889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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